Managing director of Career Point and a renowned mentor **Mr Pramod Maheshwari**, who is considered an authority in fields of NEET and JEE preparation stated that:-

Even if any NEET 2020 aspirant doesn’t feel to have made an error in NEET-UG 2020 Online Application Form, must check it now to avoid inconvenience in the future.

They can see the complete details that they had submitted in their application form by logging into their account on the official website of NEET 2020. They just need to visit https://ntaneet.nic.in/ and enter their registration number and password, to login into their registered account.

__List of particulars that can be changed/corrected in the NEET UG 2020 Online Application Form__

Except for the registered email ID and registered mobile number of the NEET 2020 candidates, NTA has allowed adding, removing, or modifying the personal data of the respective students. Students can make changes in the particulars such as:-

- Personal details
- Educational qualification
- State eligibility
- Examination centre
- The medium of the Question Paper
- Category of the candidate

The documents of the candidates registered for the NEET 2020 can also be reloaded if it’s not clearly visible or if uploaded incorrectly. In case a candidate had uploaded the incorrect documents then they can also reload it. These personal documents are photos of the candidate, signature of the candidate, left-hand thumb impression and the certificates of Class 10.

__Provision of fees needed to be paid for change made in the category__

- In case a registered candidate of NEET 2020 need to change his/her category from reserved (UR) to unreserved, then he/ she will have to pay the difference in the fee of the two categories.
- In case the category of the candidate is changed from the unreserved (UR) to reserved category (SC/ST/OBC or others), no payment has to be made.
- An additional fee of Rs 100 needs to be paid if a candidate changes his category from OBC or EWS to the unreserved category.
- Change in the category from ST/SC to the unreserved category will require an additional fee of Rs 700.

The candidates are advised to cross-check the entire application form before submitting, as the chance for corrections in the NEET UG 2020 Online Application Form is given for a single time. The applications once submitted will not be changed or corrected further. At the end of the correction procedure, take a print out of the application form and correction slip and keep it for further reference.

]]>__General steps to fill BITSAT 2020 online application form__

- The students are advised to read the given instructions carefully before filling the Application form of BITSAT 2020 which are as follows:-
- All the fields of BITSAT 2020 online application form marked with *are mandatory and must not be skipped. You can also refer to the BITSAT Information Brochure 2020to get more detailed information on BITSAT before applying for this online test.
- Fill in the details in the application form and click on Submit to proceed further.

** Click here to register for BITSAT 2020**

- Once the system accepts your registration for BITSAT 2020 successfully, it will send you User ID along with the Password to the Mobile Number and Email ID that you had registered for it.
- The Login link will be sent to your registered Email ID. Also, you can use the link https://cdn3.digialm.com/EForms/configuredHtml/1823/64046/login.html to login into your registered account.
- At last login to your account and paying the requisite fees to complete the application for BITSAT 2020.

Also, you can visit www.bitsadmission.com if you want to know more about the admission modalities for the on-campus degree programs offered at all the campuses of BITS, Pilani.

]]>Career Point has started live online classes for NEET, JEE, Pre-Foundation, NTSE and Olympiads from session 2020-21. These classes by the Career Point Expert Team will be available directly to the students at their homes, and students can easily attend it through mobile, laptops and tabs. This facility will be available to all students of class 6 to 12th as well as 12th pass/dropper students. Managing Director of Career Point Sh. Pramod Maheshwari said that to make learning more effective in the technological era, online courses enriched and enhanced with new technology are being started. To facilitate the benefit of learning among the students belonging to every section of society even from their home.

IIT alumnus Mr. Maheshwari said that Career Point is the first coaching institute in Kota which has tried to make coaching affordable and result oriented for the welfare of all the students. This technique will reduce the burden of increasing coaching fees on parents. Additionally, learning through this mode will also increase the success rate of the students who are taking online entrance exams. Since, the learning has been made more effective by incorporating cutting edge artificial intelligence and the data science techniques in this course.

He further adds that studying in the online course will save a lot of time, which will give the student full time to do self-study. They can learn online anytime, anywhere as per their requirements.

Mr. Maheshwari said that currently 1.25 lakh children are benefiting from the Career Point YouTube channel and more than 5000 children are associated with the discussion forum wherein the career point experts solve children’s personal doubts. He said that right from the beginning, Career Point kept doing innovations in the learning industry and the coaching format will become more effective through this course. If the Kota coaching will reach the home of far-off students in a low and effective cost in the same manner, then its effective results will be seen.

**Features of the online coaching**

- Students can avail all the classes by Career Point Expert directly at home
- Access to the private doubt solving group from 8 am to 10 pm
- Attempt to improve student’s personal performance
- Students will get online test series along with their performance feedback
- Access to the Motivational sessions and Academic Seminar organized through online platforms for all the students
- All the lecture of live classes will be recorded and remain available online for revision and study again

From 2019 onwards, NTA has initiated to provide the question paper through the official website of NTA – https://jeemain.nta.nic.in/

Before the release of the JEE Main 2020 question and answer key January session, the subject experts of Career Point had released the solutions of memory-based questions and now the expert faculties of Career Point have prepared answers of the official JEE Main 2020 question paper held in January session.

You can find below the official JEE Main 2020 question paper (January session) with Answer key and their Solutions.

]]>As for the exam, candidates sit for JEE Mains every year to qualify and appear in JEE Advanced, which ultimately paves the way for admission to one of the IITs in India. The examination also provides a gateway for aspirants to secure admission to various B.Tech and B.Arch courses in NITs and other top colleges in the country.

The cut off will serve as the qualifying score for a candidate to appear in JEE Advanced. It means, if an aspirant secures fewer marks than the cut off released by the NTA, he/she will not be eligible to appear in JEE Advanced.

Academic director of Career Point MR. Shailendra Maheshwari here share details about Expected Cut-off of JEE Main 2020 Exam.

]]>However, the date of correction within the online application form can stay similar from January 15 to January 31, 2020, & the candidates can visit the official website https://ntaneet.nic.in for registration.

The date is also extended for the NEET aspirants from Kashmir Valley, Leh and Kargil & they can submit the application form offline at the Nodal Centers fixed by NTA (National Testing Agency) up to 6th January.

The NEET 2020 Exam is going to be conducted on the 3rd of May. The admit card will be available on the 27th of March and the result will be declared on the 4th of June. Moreover, the exam will be conducted in 11 languages including Hindi and English.

]]>According to the mathematics experts of Career Point, you should pay extra attention to Trigonometry, Application of trigonometry, Similar Triangles, and Linear equation. As these are the important chapters of CBSE class 10th Mathematics board exams.

Additionally, it would help if you prepared the important topics of CBSE class 10th Mathematics board exams as mentioned below:-

1. | Introduction to Trigonometry | · Trigonometric ratio
· Trigonometric ratios of complementary angles |

2. | Application of trigonometry | · Problems based on angle of elevation and depression |

Both the chapters belong to the same unit of class 10 Mathematics and have weightage of 12 marks in the CBSE class 10 Mathematics board paper.

Don’t skip these two chapters as 1 question of 4 marks, 1 question of 3 marks & 1question of 2 marks are asked in CBSE class 10th Mathematics board examination, every year from these two chapters.

3. | Triangles | · Basic Proportionality theorems
· Area of similar triangles |

Proof of these theorems and questions based on them are generally asked in CBSE class 10th board papers. Whereas this chapter has a marking weightage of 7-8 marks, and you can expect 1 question of 4 marks and another of 3 marks in your class 10th Mathematics **CBSE board question paper**.

4. | Linear Equation | · Graphical and Algebraic Methods to solve equations
· Word problems |

Linear equation comprises 5-7 marks in the CBSE Mathematics board examination class 10, so the students must not ignore this important chapter of CBSE class 10th Math’s board exam. Here, the students should expect 1 question of 4 marks in the form of word problem or from the graphical method. Also, 1 question carrying 1 to 3 marks can be asked from algebraic methods (substitution, alimentation, and cross-multiplication).

5. | Statistics | · Finding mean, median and mode
· Drawing less than and more than Ogives |

Statistics constitutes 6-7 marks in the class 10 board question paper of mathematics. Wherein, the students should expect 1 question of 4 marks and 1 question of 3 marks weightage.

Focus on these important chapters of class 10 CBSE board exams to secure a good score in mathematics.

]]>As per the words of Mr. Shailendra Maheshwari, academic director of Career Point and renowned Math Guru, an outstanding mentor having teaching experience of more than 26 years in the field of IIT-JEE –

“Only your preparation and command on the subject will not suffice to score more in JEE Main 2020. It will depend on your attitude and also on your preparation approach that you have put-on in the last days of the session, along with your ability to consolidate it.

Now the time has come when you have to put full Stop on your preparation, and you must start looking towards the examination. Consolidate everything and arrange and organize every aspect in your mind to use at the right time.

Moreover, he asserts that revision doesn’t mean preparation; it means to develop strategy, to analyze your strength as well as your weaknesses. Revision means to “re-vision” the aspects that you had grasped earlier.

He further adds that if you are going to attempt the JEE MAIN 2020 exam in January session, then you can easily score 200+ marks even if you have completed only 70% of the JEE Main 2020 syllabus. You only need to reproduce that 70% portion of the JEE syllabus in the proper way, and to consolidate that 70% portion.”

For your convenience, we are putting forward a video available on the Career Point Kota YouTube channel. Wherein, S.M sir has explained all the involved factors to let you get an insight on “how to score 200+ Marks in JEE Mains 2020” at the micro-level.

Where he explains about what to do at the end of term, how to plan it, the revision strategy that you must take up, and about the JEE Main Test plan. And all that you need to know about the best JEE Main revision material.

For more detailed information and analysis on how to score 200+ Marks in JEE Mains 2020, go ahead and watch the complete video analysis by S.M, sir.

]]>Also, if we try to go by the word of experts, it’s the time when you should have completed your whole class 10th syllabus. And start revising and practising more and more questions in the exam like environment. Hence, this is a time when you should resort to the revision courses under the supervision of the subject experts. And it gets icing on the cake if you get an opportunity to attend them free!!

And this year the CBSE students appearing in the boards have just got lucky as the Career point has started a free online crash course on YouTube for class 10th CBSE board exams.

Now being a student who will be taking CBSE class 10th board exam in 2020, you are only left with two months to get your syllabus completed and brushed up.

Moreover, since it’s not always your preparation that impacts and shapes up your result, the way you manage to answer the paper in the prescribed format and time also affects your score.

Therefore, along with the regular revisions for the class 10th board exams that the majority of students will follow. It would help if you learned something extra which will put on the lead.

And through attending the **free online crash course for class 10th** CBSE board exam that the career point is offering on YouTube without charging a single rupee.

The classes of the online crash course for class 10th CBSE board that Career Point started on the 12th of December for free. It aims to help the student in Science and mathematics as the majority of student struggles and seek help in these two subjects.

This free online crash course for CBSE class 10 board exams comprises of 34 to 36 lectures in mathematics and 35 to 40 lectures in Science. Moreover, these classes aim to help students revise and revisit the whole syllabus of CBSE class 10th board exams. Therefore the experienced teachers of Kota brief up the theory portion of chapters in the begging. Afterwards, they take up the different questions from the sample papers, previous year question papers, and even the problems framed by the subject experts of the career point.

The questions discussed in the class include the type of problems being introduced from this session onwards. These recently added questions contain multiple-choice questions, fill in the blanks type questions, assertion and reason, questions based on the paragraph and images etc.

The period of this free online crash course classes for class 10th CBSE board exams will be around 50 minutes each. This way, you will be left with an ample amount of time, and additionally, it will not alter your regular schedule as these classes are scheduled in the evening between 6 to 8 p.m.

On the other hand, these classes are being streamed through the career point YouTube channel dedicated to the school level exams, to make it easily accessible.

This way, all you have to do is stop bothering about the fees. Just visit and subscribe to the Career Point’s YouTube channel and start preparing by utilizing the edge of Kota coaching at home for FREE!!

]]>Get the NCERT Solutions for Class 10 Maths Chapter 6 “Triangles” prepared by the faculty members of Career Point to help you excel in CBSE class 10th Board examination. These detailed solutions of “triangle” chapter 6 of the Class 10th Maths NCERT textbook enable a student to do a quick revision. Students can also use these solutions of chapter 6 Class 10 Maths NCERT textbook as a reference while solving the questions during practice sessions. Moreover, the faculties of Career Point also believes that it will also save lots of time as the students will not have to depend on the teacher for every single query. As all the solutions are described in a step by step manner as per the recommended answering format of the CBSE class 10th Board Exam.

Click here to download a free PDF of Class 10 NCERT chapter 6 solutions for your upcoming CBSE Board Exams.

NCERT Class 10 Maths Chapter 6 on triangles is a crucial chapter in the Standard 10 curriculum. Here, in this chapter, NCERT introduces you to the different concepts of a triangle, its angles, necessary calculations, etc.

Essentially, it is vital to understand this chapter in detail with Career point NCERT Solutions for Class 10 Maths Chapter 6 to be able to cope with the curriculum of Standards 11 and 12.

Our solutions offer concise and comprehensive answers to the exercises of NCERT Maths Class 10 Chapter 6, along with those of all the other chapters.

This Class 10 Maths NCERT Solutions Chapter 6 helps students complete all the given exercises with standard answers accompanied by relevant shortcut techniques for faster solving. Prepared by expert teachers, this NCERT Solution for Class 10 Maths Chapter 6 along with others effectively aids you in improving your Standard 10th board exam scores.

Our accurate NCERT Class 10 Maths Chapter 6 and other solutions are available for easy download sans charges, allowing you to avail them at any time.

The NCERT Maths Class 10 Chapter 6 is divided into six sections, covering all basic concepts of triangles. Beginning with an introduction to triangles and other geometric figures, it goes on into different types of triangles and their properties.

Furthermore, included in detail in our NCERT Solution of Class 10 Maths Chapter 6, various calculations and proofs related to the properties of triangles are also covered.

The vital questions and topics covered in our free PDF downloads offering NCERT Solutions for Class 10 Maths Ch 6 are discussed below.

- NCERT Class 10 Maths Chapter 6: Exercise 6.1.
- a) Question 1:

The first question in this chapter checks your understanding of triangles. Different types of triangles and their properties are discussed in our NCERT Solutions for Class 10 Maths Chapter 6 Triangles. You have to fill in the blanks to fit the correct description discussed in these questions.

- b) Question 2:

This first section of NCERT Class 10 Maths Chapter 6 teaches you a few other geometric shapes and figures along with triangles. Here in this question, you have to provide two examples, each of similar and non-similar figures. These are accompanied by a relevant explanation of their similarity and otherwise in our solutions.

- c) Question 3:

In the final question of this section, you have to study 2 different figures and recognize their properties. You also have to state whether they are similar to each other or not. Our solutions provide the relevant explanations along with the answer.

**NCERT Solution for Class 10 Maths Chapter 6: Exercise 6.2.**

- a) Question 1:

The second section from NCERT Class 10 Maths Chapter 6 explains the different characteristics of a triangle and relevant theorems. Consequently, the first question in this section requires students to find the length of the base with the other measurement provided in the question. You can take the help of our solutions on this exercise to understand the working of the theorems.

- b) Question 2:

Different measurements of 3 similar triangles are provided in this question. You have to use these measurements to find if a specific lattice is parallel to another line. Our solutions offer a detailed explanation of the proofs of all these problems.

- c) Question 3:

This question from NCERT Class 10 Maths Chapter 6 tests your understanding of triangles as well as parallel lines. The basic proportionality theorem is the working function in this question.

- d) Question 4:

This question is similar to the previous one, where students must prove two ratios to be equal. However, here the given figure is more complicated with on the parallel lines meeting a vertex while the other meets a lattice. Students can easily refer to our solutions to understand the method of proving this question.

- e) Question 5:

While the previous proofs involved basic proportionality theorem, this proof requires the converse of it too. While proving this question, you have to use the converse of the basic proportionality theorem in the last step to prove that a specific line in a triangle is parallel to another.

Our NCERT Solutions for Class 10 Maths Ch 6 offers a detailed explanation of the use and the logic of this theorem.

- f) Question 6:

This question is similar to the previous one though here students must work with two triangles. The smaller of the two is placed within the other, making their three lattices parallel lines. Students must prove them to be parallel lines by reasoning.

- g) Question 7:

In this question, you have to prove that a line drawn through mid-points of one side of a triangle bisects the other side. Here, the said line is parallel to the other side of this triangle. Our NCERT Solution Class 10 Maths Chapter 6 explains how this proof becomes crucial to solve other questions.

- h) Question 8:

This proof requires the functioning of the converse of the basic proportionality theorem. Here students are required to prove that a line joining midpoints of two sides of a triangle are always parallel to the third side. As mentioned in the NCERT textbook, this question has been previously explained as in our solutions from Class 9.

- i) Question 9:

Quadrilaterals can be divided into sections to represent different triangles. Consequently, in this question, you have to study the figure of a trapezium and subsequently prove two proportions of lattices and intersections to be equal.

- j) Question 10:

The last question from Exercise 6.2 of NCERT Class 10 Maths Chapter 6 also consists of a quadrilateral. Interestingly, here, students must prove that this figure is a trapezium. It requires detailed knowledge of quadrilaterals and students can refer to our solutions for aid.

**III. Maths NCERT Class 10 NCERT Solutions Class 10 Chapter 6: Exercise 6.3.**

- a) Question 1:

Six pairs of triangles are provided in this question from NCERT Class 10 Maths Chapter 6, along with their figures. You are required to prove that these pairs of triangles are similar to each other. Additionally, you must also mention the criterion used to prove their similarity.

- b) Question 2:

The second question here involves similar triangles in which the values of certain angles are specified. The given figure is of a pair of parallel lines which has two lines intersecting each other, forming an inverted triangle over another. Students can avail of our Maths NCERT Class 10 NCERT Solutions Class 10 Chapter 6 to understand the solving of this question.

- c) Question 3:

While the previous question had a diagram to it, explaining the different structures and relevant angles; in this question, the figure is just described. You have to use similarity criteria to prove that two proportions of lattices are the same.

- d) Question 4:

The similarity of specific ratios and proportions of lattices is mentioned in this question, along with the relevant diagram. The proof requires you to show that two triangles formed in this figure are similar to each other. In case of difficulty in demonstrating this proof, students can refer to our NCERT Solutions for Class 10 Maths Chapter 6.

- e) Question 5:

Students must demonstrate in this question that two triangles given in the figure are similar to each other. Our solutions to NCERT Class 10 Maths Chapter 6 explain this proof in relevant details along with a diagram.

- f) Question 6:

This problem involves understanding the congruency of triangles. It is given that two triangles are congruent to each other. Consequently, students must find out if two other triangles formed are similar to each other.

- g) Question 7:

A figure is given in this question, along with the mention of other facts. The figure includes numerous triangles that are formed by the intersection of their altitudes. You are required to show a few specific triangles to be similar to others. Our solutions on NCERT Class 10 Maths Chapter 6 discuss all the proofs.

- h) Question 8:

A parallelogram is intersected by a line which meets the extension of one arm of this figure. Of the numerous triangles formed, you must prove two of them, to be similar to each other. This question involves the theorem on alternate interior angles.

- i) Question 9:

Students are introduced to the concept of a right-angled triangle. Consequently, in this question, a figure involving right-angled triangles is presented. Students must prove the similarity between the two triangles. Additionally, this question from NCERT Class 10 Maths Chapter 6 also requires students to prove that two proportions are the same.

- j) Question 10:

The figure of two similar triangles and their properties are discussed in this question. Students must use this given data to prove two different sets of triangles to be similar. Additionally, explained in detail in our NCERT Solutions for Class 10 Maths Chapter 6 PDF, students must also prove two proportions to be equal.

- k) Question 11:

An interesting question involving an isosceles triangle, your understanding of perpendiculars is tested here. The figure has two perpendicular lines, one of which intersects the base of a triangle. You must prove one of these triangles formed to be similar to another.

- l) Question 12:

Two figures are provided in this question. These figures have sides that are proportional to one another. Explained in detail in our NCERT Class 10 Maths Chapter 6 solutions and study material, students must prove the similarity between two triangles.

- m) Question 13:

This question includes an understanding of theorems and proportions along with the working of proofs. Students must prove that the square of one side is the same as the multiplication of two other sides.

- n) Question 14:

NCERT Class 10 Maths Chapter 6 covers median and relevant theorems of triangles. In this question, students must prove the similarity of two triangles. As demonstrated in our solutions, students must know all the similarity theorems to determine this question.

- o) Question 15:

This penultimate question of this exercise describes the formation of the shadow of a pole and a tower. With the length of these shadows and the height of the pole being given, students must find the height of the tower.

- p) Question 16:

The question provides figures of two triangles that are similar to each other. You are required to prove that the proportion of two sides of these triangles is equal to each other. In case stuck while trying to prove this question, you should take the help of our solutions on NCERT Class 10 Maths Chapter 6.

- a) Question 1:

While the previous section primarily had questions that required you to prove specific characteristics or similarities, in this section you must solve and find the values of relevant lattices, ratios, etc. along with different proofs. In this first question, you are required to find the value of a specific lattice of a triangle. The areas of these triangles are given along with the length of one of their lattices.

- b) Question 2:

In this second question of NCERT Class 10 Maths Chapter 6, students must find the ratio of the areas of two triangles formed by intersections in a trapezium. Additionally, it is also mentioned in the question that one side of the trapezium is double of its other side. Students can refer to our solutions for a better understanding of the solution and relevant theorems.

- c) Question 3:

Another question involving trapeziums, here two triangles are formed by a chord which intersects the quadrilateral. Students must demonstrate with step by step solutions that the area of the two triangles formed is in the same proportion as their medians.

- d) Question 4:

You must prove in this question that if the areas of two similar triangles are the same, they must be congruent with each other. In case you find it difficult to solve this question, avail our solutions to NCERT Class 10 Maths Chapter 6.

- e) Question 5:

A triangle is formed by connecting the mid-points of the vertices of a triangle. While the new triangle formed is similar to the bigger one, you must find the ratio of their area. This question requires knowledge of corresponding angles along with similarity theorems.

- f) Question 6:

This question is detailed proof which requires a thorough understanding of this chapter. Students must prove that the ratio of areas of two similar triangles is equal to the ratio of squares of their medians. In case stuck, students should refer to our solution sets since clarity on these basic concepts is crucial for higher studies.

- g) Question 7:

The question describes two triangles, the former of which is equilateral and formed on one side of a square. The second triangle is formed on the diagonals of this same square. You are required to prove that the area of the triangle discussed above is half of that of the latter. Our Class 10 Maths NCERT Solutions Chapter 6 discusses the proof with relevant theorems.

- h) Question 8:

In this question, students are informed of two equilateral triangles. Additionally, one vertex of one of the triangles is mid-point of the lattice of the other triangle. In this question from NCERT Class 10 Maths Chapter 6, students must find the ratio between the areas of these two triangles.

- i) Question 9:

The ratio of the sides of two similar triangles is provided in this question. You are required to find the ratio of their area. Four proportions are mentioned in the question, and students must solve the question to choose the correct option.

- a) Question 1:

The first question of this exercise in NCERT Class 10 Maths Chapter 6 checks how well you understand triangles and their types. Four different sets of lengths are given, and you must mention which of them are right-angled triangles. In case it is such a triangle, you must also mention the length of the hypotenuse of this triangle.

- b) Question 2:

A right-angled triangle is described in this question. A point ‘p’ connects its hypotenuse to the right angle. Students must prove that the square of this line is equal to the multiplication of the two segments on the hypotenuse. In case a student is stuck with this proof, it is best to understand the detailed explanation from our solution.

- c) Question 3:

Though similar to the previous question, this one has more equations for students to prove. A right-angled triangle and its properties are discussed here. Our NCERT Solution of Class 10 Maths Chapter 6 offers a detailed description of the proof on all the equations in the question.

- d) Question 4:

The question from Section 6.5 of NCERT Class 10 Maths Chapter 6 presents an isosceles right-angled triangle. You must prove if the square of this hypotenuse is equal to the double of base square. This problem involves knowledge of different types of triangles along with Pythagoras theorem.

- e) Question 5:

An isosceles triangle is presented in this question. Additionally, the question also mentions that two of its sides are equal. It is also mentioned that the square of one side is equal to the double of another side’s square. Students must prove that this triangle is right-angled.

- f) Question 6:

An equilateral triangle is described here with sides of a given value in variables. Consequently, students must find the altitude of all the sides in this question from NCERT Class 10 Maths Chapter 6. This question tests a student’s understanding of different types of angles as well as their understanding of the Pythagoras theorem.

- g) Question 7:

Rhombus is a type of quadrilateral that has its particular characteristics. Your knowledge of quadrilaterals is checked here along with that of triangles. You must prove that the sum of the squares of its sides is equal to the sum of squares of its diagonals. In case you have any trouble with the numerous theorems being involved, you can opt for Triangles Class 10 NCERT Solutions PDF download for clarity.

- h) Question 8:

Here a figure of a triangle enclosing a square is presented in the question. Numerous characteristics of the different figures in this diagram are mentioned. Students must use this information to prove the two equations mentioned in this question.

- i) Question 9:

This problem discusses a ladder that goes up to reach a window at a considerable height from the ground. In this interesting question from NCERT Class 10 Maths Chapter 6, students must find the distance between the foot of this ladder and the wall. Pythagoras theorem is required to solve this problem.

- j) Question 10:

This question is similar to the previous one though it involves a more complex situation. The situation involves a stake that is tied to a rope. The other end of this rope is tied to a pole. You are required to find how deep the base of this pole must be driven so that the rope is taut.

- k) Question 11:

It is an interesting question where two airplanes are discussed. Both leave the airport with specific speeds yet fly in different directions. Students must find out the distance between these two airplanes after a specific period.

- l) Question 12:

Two poles of different heights are fixed at a certain distance from each other in this question from NCERT Class 10 Maths Chapter 6. Students must find the distance between the tips of these two poles. This problem requires an understanding of the Pythagoras theorem along with the characteristics of quadrilaterals and triangles.

- m) Question 13:

A right-angled triangle is described in this question along with specific points marked on its vertices. Accordingly, students must prove an equation of the different vertices and its segments. Referring to our NCERT Solution of Maths Class 10 Chapter 6, you easily understand how to prove the given equation.

- n) Question 14:

In a given triangle, a perpendicular intersects the opposite lattice in a specific proportion. Consequently, students must solve the given equation and prove that it is valid with the information provided with this question.

- o) Question 15:

One of the sides of an equilateral triangle is intercepted by a point, dividing the lattice into a specific proportion. Provided with an equation informing you of the lengths of the intersected arm, you must prove another equation given in this question from NCERT Class 10 Maths Chapter 6.

- p) Question 16:

It is another question based on the concepts of equilateral triangles. Students must prove that three times the square of one side is equal to 4 times the square of its altitude. In case any student has trouble in solving this proof, our solutions on NCERT Class 10 Maths Chapter 6 offer a detailed explanation of the theorem used along with the solving.

- q) Question 17:

This last question of this section provides the length of 3 lattices of a triangle. You must find the value of a specific angle with this given information and tick the correct option accordingly. As explained in our solutions, you must check if this is a right-angled triangle and accordingly find the value of this specific angle.

- a) Question 1:

More complex theorems on bisection and resulting proofs are the scope of this section. Consequently, the first question in this last section of NCERT Class 10 Maths Chapter 6 involves bisection, basic proportionality theorem, angle bisectors, etc. You must refer to our solution sets to get a better understanding of the solution to this question.

- b) Question 2:

In this question, students must apply their knowledge of right angles and right-angled triangles. A quadrilateral is formed within a triangle in the given figure. From the given figure, students must prove that the square of specific arms of this quadrilateral is equal to the multiplication of two other lattices.

- c) Question 3:

The solution to this question requires knowledge of obtuse-angled triangles and their characteristics. Students must prove a complex equation that involves different lattices of the above-discussed triangle. It is advisable to take the aid of our Chapter 6 Maths Class 10 NCERT Solutions to understand the various theorems involved in this proof properly.

- d) Question 4:

In this proof, students have to deal with acute-angled triangles. Similar to the previous question in this section from NCERT Class 10 Maths Chapter 6, students must prove the given equation of different lattices. Its solution involves the Pythagoras theorem along with the understanding of the characteristics of triangles.

- e) Question 5:

Along with the given figure, different proportions and facts of the given figure are mentioned in the question. Here, you have to prove three different equations which are mentioned in the question, using the provided information. It primarily involves Pythagoras theorem.

- f) Question 6:

This question is complex, and it is advisable to refer to our solutions on NCERT Class 10 Maths Chapter 6 for a detailed understanding of the same. You are required to prove that the sum of the diagonals of this parallelogram is equal to the sum of the squares of their sides.

- g) Question 7:

Here, students require knowledge of chords and their functioning to answer this question accurately. In the given figure of a circle, two chords intersect each other at point P to meet the circle at its circumference. Students must prove that the triangles formed are similar.

Additionally, students must also prove that the multiplication of similar lattices of the triangles comes as equal.

- h) Question 8:

Two chords of a circle are extended outside to meet at point P. Two triangles are formed here, where the smaller triangle is a part of the larger one. You must prove that these two triangles formed are similar to each other. This question also requires an understanding of cyclic quadrilaterals.

- i) Question 9:

A figure is presented in this question where you must prove that a particular line is the bisector of an angle from which it is originating. Along with the basic proportionality theorem, students must understand corresponding angles as well as alternate interior angles. You can refer to our NCERT Class 10 Maths Chapter 6 solutions to understand the solution better in case you find it challenging to solve.

- j) Question 10:

It is the last question of this chapter. Here, a scenario involving fishing has been discussed. The distance between the water and this fishing rod, the distance of the fly, etc. are mentioned. Accordingly, with all the given information, students must find the distance of the fly after a specific time when she has begun pulling in the rope.

**We cover all the exercises in the chapter given below:-**

The solutions are explained in a student-friendly language and makes it easier for the learners.

**EXERCISE 6.1** – 3 Questions with Solutions in PDF

**EXERCISE 6.2** – 10 Questions with Solutions in PDF

**EXERCISE 6.3** – 16 Questions with Solutions in PDF

**EXERCISE 6.4** – 9 Questions with Solutions in PDF

**EXERCISE 6.5** – 17 Questions with Solutions in PDF

**EXERCISE 6.6 **– 10 Questions with Solutions in PDF

Career Point offers solution sets for all subjects of Standard 10, as well as of other classes. You can avail our download option to get every set of answers, like those of Chapter 6 Maths Class 10 NCERT Solutions which can aid immensely in scoring better marks in your upcoming board examination. You can access our Maths NCERT Class 10 NCERT Solutions Class 10 Chapter 6 with easy online availability and free to download facilities.

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