NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

CBSE Class 10 Maths is the foundation of higher-grade Mathematics. It forms the base of conceptual learning of all the necessary topics for a student. While preparing for class 10 exam, a student will need NCERT solutions handy for better practice. With TopperLearning's Maths NCERT solutions, CBSE Class 10 Mathematics is no more an area of concern for students. The CBSE Class 10 Maths Textbook solutions comprise important formulas, theorems and equations. Each point in CBSE Class 10 Maths study material is further explained with detailed explanations so that students can grasp it and understand the concepts. TopperLearning provides an extensive wholesome package of study material as listed below:


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NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry 

In the previous grades, CBSE has introduced students to the concept of the Co-ordinate System. Taking the basic knowledge from Grade 9, Class 10 Maths Chapter Coordinate Geometry dives in deeper and gives more knowledge of the coordinate system. In Maths Chapter Coordinate Geometry, you will learn how to find the distance between the two points whose coordinates are given, and also the area of the triangle formed by three given points. You will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio. NCERT Solutions for CBSE Class 10 Maths have solutions for each and every question from the textbook. Coordinate Geometry NCERT solutions will guide you on how to write correct solutions. It will also help in improving presentation skills of grade 10 student preparing for board exams. Attempt the questions and check your solutions with CBSE Class 10 Maths Textbook solutions. This chapter covers the following key points in detail:

  • Distance Formula
  • Section Formula
  • Area of a Triangle

TopperLearning's Coordinate Geometry NCERT solutions gives conceptual insights with each solution. This provides better clarity to the students. 

Mathematics Chapter Coordinate Geometry Chapter 7 - Coordinate Geometry Exercise Ex. 7.1 

Dive in deep and understand the coordinate system better by finding the distance between the two points placed between the X and Y axes respectively. TopperLearning’s CBSE Class 10 Maths video lessons help you to understand the derivation for the distance formula. CBSE Class 10 Maths Textbook solutions help you with each and every question from this exercise. Wondering how to refer to the most important questions after solving the textbook exercises? CBSE Class 10 Maths most important questions provide with lots of practice. In case of doubts, remember to use CBSE Class 10 Maths Doubt Solver and get all your concerns resolved. CBSE Class 10 Maths study material provides you with everything that you need for perfect preparation. 

Mathematics Chapter Coordinate Geometry Chapter 7 - Coordinate Geometry Exercise Ex. 7.2 

Learn about the Section formula in Mathematics Chapter Coordinate Geometry Chapter 7 - Coordinate Geometry Exercise Ex. 7.2. Students will be able to locate the point that divides a line in the coordinate system in the specified ratio. This chapter is very scoring and easily comprehensible with TopperLearning’s CBSE Class 10 Maths study material. This chapter is popular in the multiple-choice question category. Refer to CBSE Class 10 Maths most important questions from Coordinate Geometry NCERT solutions. Improve your skills and score better by practicing CBSE Class 10 Maths sample papers and CBSE Class 10 Maths Past Year Papers

Before examination, every student needs a quick recap of the key points from the chapters. CBSE Class 10 Maths Revision Notes are the perfect resource for a final brush up before any test or exam.

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Mathematics Chapter Coordinate Geometry Chapter 7 - Coordinate Geometry Exercise Ex. 7.3

Another interesting application of Maths Chapter Coordinate Geometry is finding the area of a triangle. Using the distance formula and section formula, the area of a triangle is calculated. The derivation can be best understood using CBSE Class 10 Maths video lessons.

Attempt every question from the exercise and check your solutions with Coordinate Geometry NCERT solutions. Check the important questions from CBSE Class 10 Maths sample papers, CBSE Class 10 Maths Most Important Questions and CBSE Class 10 Maths Past Year Papers.

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Mathematics Chapter Coordinate Geometry Chapter 7 - Coordinate Geometry Exercise Ex. 7.4 

Attempt questions from optional exercise and get a better insight of different types of questions asked from Class 10 Maths Chapter Coordinate Geometry. This exercise has some higher-order thinking problems. TopperLearning’s Coordinate Geometry NCERT solutions also provide you with the solutions of optional exercise. Maths NCERT solution CBSE Class 10 equip you with everything you need to write the most accurate solutions.

Revise using NCERT solutions for CBSE Class 10 Maths to gain complete confidence to solve the final exercise of this chapter with TopperLearning’s Coordinate Geometry NCERT solutions. Our solutions for the preparation of CBSE online class 10 include conceptual insight to ensure that a student solves every question from Class 10 Maths Chapter Coordinate Geometry in an efficient manner.

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Chapter 7 - Coordinate Geometry Exercise Ex. 7.1

Solution 1
Solution 2

In section 7.2, A is (4,0) and B is (6,0).

AB2 = (6 - 4)2 - (0 - 0)2  = 4

AB = 2

Solution 3
Solution 4

Three non collinear points will represent the vertices of an isosceles triangle, if its two sides are of equal length.


Solution 5

From the figure coordinates of points A, B, C and D are 

A = (3, 4), B = (6, 7), C = (9, 4), D = (6, 1)

Solution 6



Here all sides of this quadrilateral are of different length. So, we can say that it is only a general quadrilateral not specific like square, rectangle etc.  

 

(iii)    Let A = (4, 5), B = (7, 6), C = (4, 3), D = (1, 2)

 

 

Here opposite sides of this quadrilateral are of same length but diagonals are of different length. So, given points are vertices of a parallelogram.      

 

Concept Insight: Recall the properties of various quadrilaterals.       



Solution 7
Solution 8
Solution 9
Solution 10

Chapter 7 - Coordinate Geometry Exercise Ex. 7.2

Solution 1
Solution 2


Solution 3
Solution 4
Solution 5

If the ratio in which P divides AB is k:1 , then the co-ordinates of the point P will be


 

 

Solution 6

 

Concept Insight:

Use the property of a parallelogram that the diagonals of a Parallelogram bisects each other for finding the values of a and y.

 

Solution 7
Solution 8

 

Solution 9
Solution 10


Chapter 7 - Coordinate Geometry Exercise Ex. 7.3

Solution 1


Solution 2

Solution 3

Let vertices of the triangle be A (0, –1), B (2, 1), C (0, 3)

Let D, E, F are midpoints of the sides of this triangle. Coordinates of D, E, and F are given by –

 



Solution 4
Solution 5


Chapter 7 - Coordinate Geometry Exercise Ex. 7.4

Solution 1

 

Solution 2
Solution 3


Solution 4


Solution 5


Solution 6

     

So, D and E are two points on side AB and AC respectively such that they divide side AB and AC in the ratio 1:3

 

Coordinates of the point P(x,y) which divides the line segment joining the points points A(x1,y1) and B(x2,y2) internally in the ratio m1:m2 are


 

 

Solution 7

 
Note:
Coordinates of the point P(x,y) which divides the line segment joining the points points A(x1,y1) and B(x2,y2) internally in the ratio m1:m2 are


Solution 8


Other Chapters for CBSE Class 10 Mathematics

Chapter 1- Real Numbers Chapter 2- Polynomials Chapter 3- Pairs of Linear Equations in Two Variables Chapter 4- Quadratic Equations Chapter 5- Arithmetic Progressions Chapter 6- Triangles Chapter 8- Introduction to Trigonometry Chapter 9- Some Applications of Trigonometry Chapter 10- Circles Chapter 11- Constructions Chapter 12- Areas Related to Circles Chapter 13- Surface Areas and Volumes Chapter 14- Statistics Chapter 15- Probability

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