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NCERT Solutions for Class 10 Maths Chapter 7 Ex 7.2 are the perfect study resource for your board exam preparation. The second exercise of the chapter is based on the section formula and includes 10 questions. In most of the questions, you have to find out the ratio by which the line segment is divided by the given point or vice-versa. Some questions are of advanced level, for instance, in question 10 you are given the coordinates of the four vertices of a rhombus and you have to find its area.
The askIITians team of Maths experts has prepared the solutions for exercise 7.2 with complete explanations. These stepwise solutions will solidify your understanding of the section formula and its application. The solutions are based on the latest CBSE exam pattern, making it easier for you to prepare for the Class 10 Maths board exam. Let us see what is included in the exercise.
You learn the two most important things about coordinate geometry in this chapter. One is the distance formula and the other is the section formula. Exercise 7.2 is based on the section formula.
According to the section formula, The coordinates of the point P(x, y) which divides the line segment joining the points A(x1,y1) and B(x2, y2), internally, in the ratio m:n are given by:
Also, there is a special case of the section formula. According to it, the midpoint of a line segment divides the line segment in the ratio 1:1. Therefore, the coordinates of the midpoint P of the join of the points A(x1, y1) and B(x2, y2) are given by:
Types of questions included in NCERT Class 10 Maths Chapter 7 Exercise 7.2:
All the questions in this exercise are word problems. In most of the questions, you are given different coordinates of line segments and a ratio by which one line segment divides another. You have to find the points of intersection and their coordinates.
In some questions, you have to find the ratio by which one line segment divides another. For instance, in question number 9, you have to find the coordinates of the points that divide a line segment joining A(– 2, 2) and B(2, 8) into four equal parts.
Some questions of this exercise are of an advanced level where you have to apply your analytical skills to find out the solution. For example, in question number 7, you are given that AB is the diameter of a circle and you are given the coordinates of B and the centre of the circle. You have to find the coordinates of point A.
Tips to solve exercise 7.2 of Class 10 Maths Coordinate Geometry:
You must read the question carefully and underline the key points of the question. Then, you should write down the key points as information given to you.
If possible, draw a rough diagram of the question so that you can get an idea of how to approach the solution.
Make sure to double-check the negative and positive signs of the coordinates. Many times students write down the wrong coordinates and get incorrect answers.
Make sure to remember the section formula correctly. If you make one mistake in the formula, you might get a completely different answer.
In case of any doubts in this exercise, you must refer to the NCERT Solutions by askIITians.
Exercise 7.2 is an important exercise that helps you understand how to divide a line segment internally and externally in a given ratio. Another important concept included in this exercise is finding the midpoint of a line segment. This basic knowledge of coordinate geometry will help students in higher classes. Many students who do not pay attention to this topic in Class 10 face problems in Class 11 and Class 12 where advanced concepts of coordinate geometry are introduced.
Key features of NCERT Solutions for Class 10 Maths Chapter 7 Ex 7.2:
The NCERT Solutions for Class 10 Maths Chapter 7 Ex 7.2 are created by experts at askIITians based on the latest CBSE syllabus and exam pattern.
These solutions include step by step explanations of the answers making it easier for you to understand how to apply the section formula in a question.
You can download the solutions of this NCERT exercise and study them at your own pace.
Our NCERT Solutions incorporate independent learning amongst the students so that one can study as per your convenience and schedule.
Download free NCERT Solutions for all exercises of Chapter 7 Coordinate Geometry at askIITians:
NCERT Chapter 7 Class 10 Maths Ex 7.1 Solutions - 10 Questions
NCERT Chapter 7 Class 10 Maths Ex 7.2 Solutions - 10 Questions
NCERT Chapter 7 Class 10 Maths Ex 7.3 Solutions - 5 Questions
NCERT Chapter 7 Class 10 Maths Ex 7.4 Solutions - 8 Questions
1. Where can I find all the exercise solutions for Class 10 Maths Chapter 7 Ex 7.2?
You can find all the answers to Ex 7.2 of NCERT Class 10 Maths Chapter 7 at askIITians. We have created stepwise, easy to understand solutions for every question of this exercise.
2. How to study NCERT Class 10 Maths Chapter 7 Coordinate Geometry?
To master the concepts of Class 10 Maths Coordinate Geometry, you must use askIITians study resources. We have revision notes, NCERT Solutions, worksheets, flashcards, mind maps, extra questions and many more study materials for Class 10 Chapter 7.
3. I need more help in Class 10 Maths. What should I do?
You can enrol in askIITians Class 10 online coaching at askIITians. We provide live, interactive classes where students can ask their doubts, participate in discussions and study in a classroom-like environment from the comfort of their homes.
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