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# NCERT Solutions for Class 10 Maths Chapter 7 – Coordinate Geometry

NCERT Solutions for Class 10 Maths Chapter 7-Coordinate Geometry have been prepared as per the current CBSE Class 10 Maths Syllabus. The important concepts that are covered in this chapter are the cartesian coordinate system, equation of a straight line, the distance formula, section formula, midpoint formula, area of a triangle, distance from the origin, section formula, area of a polygon and centroid of a triangle. Our NCERT Solutions are easy to understand, fully accurate.

They are comprehensive yet to the point. Our NCERT Solutions answer all questions of all the 4 exercises with detailed explanations and in a step by step manner. Our strategic study techniques and learning shortcuts make learning more interactive, efficient, fast and fun. Our Class 10 Maths Coordinate Geometry solutions help you become thorough with the chapter quickly and score more marks in your exams.

Maths Chapter 7-Coordinate Geometry has been designed to help you strengthen your knowledge base, improve your retention rate, and clear all your doubts and questions instantly. They cover all the main topics of the chapter. These are the finest learning and revision notes that help keep all board exam related anxieties and fears at bay.

## Class 10 Maths Coordinate Geometry: Important Topics

Our comprehensive NCERT Solutions for Class 10 Maths Chapter 7-Coordinate Geometry cover all important topics and sub-topics of the chapter. Some of them have been discussed below.

• Introduction

In NCERT Class 10 Maths Chapter 7 – Coordinate Geometry, you will be taught about the distance between the two points from the given coordinates. You shall see how the area of the triangle is formed with the three given points.

• Cartesian coordinate system
This section of CBSE NCERT Class 10 Maths Chapter 7 teaches you about the cartesian coordinate system. Here you will learn that as per the cartesian coordinate system, a plane which is made up of two number lines, that are perpendicular to each other and are represented in a graph with X and Y coordinates are termed as the coordinate axis.
• Equation of a straight line

In this part of NCERT Class 10 Maths Chapter 7, you will learn about the equation of a straight line. Here you will learn that basically, straight lines are used to draw lines on the cartesian planes. Slope intercept form is used by the equation of a line

y = MX +b

where m is the slope of the line and b is the y-intercept,

M = change in y / change in x

• Distance Formula

In NCERT Class 10 Maths Chapter 7, you will be learning how to find the distance between two given points. The points will be given in the form of A(x1,y1) and B(x2,y2). The question from this section is usually diagram based questions.

• Distance from Origin

In NCERT CBSE Class 10 Maths Chapter 7, you will have to find the distance from the origin to the given point. Here you will learn about section formula and midpoint formula. They have been discussed below.

1. Section Formula
In this section will be given with points on the line segment, and that line segment will be divided in a particular ratio, and you will have to find the coordinate points.
2. Midpoint Formula

In NCERT Solutions for Class 10 Maths Chapter 7-Coordinate Geometry, you will be learning how to find the coordinate points of a given midpoint of the line segment.

• Area of a Triangle

In this part of Class 10 Maths Coordinate Geometry, you will be learning how to solve the questions based on the below-mentioned formula.

Area of a trapezium = ½ (Sum of parallel sides) (distance between them)

• Area of a Polygon

In this segment of NCERT CBSE Class 10 Maths Chapter 7, you will be learning how to find the area of a polygon with the help of all the vertices of the polygon. The formula for which has been given below.

Formula: A = ½ (x1y2 – y1x2) + (x2y3 – y2x3) + …. + (xny1 – ynx1)

• The centroid of a Triangle

In this section of Class 10 Maths Coordinate Geometry, you will be learning about what is the centroid of a triangle and why the three medians of the triangle meet are known as the centroid of a triangle.

### NCERT CBSE Class 10 Maths Chapter 7 Exercise-Discussion

NCERT CBSE Class 10 Maths Chapter 7 contains 4 all-inclusive exercises. Our NCERT Solutions for Class 10 Maths Chapter 7-Coordinate Geometry answer all questions from all the exercises in a step by step manner to help you learn easily and effectively. Below is an overview of the exercises.

Exercise 7.1

This exercise of CBSE NCERT Class 10 Maths Book consists of 10 questions. Question 1 and question 2 are similar, in which you have to find the distance between the given points. Question 3 asks you to determine the points, and in this, you have to find whether they are collinear or not. In question 4 you have to find if the given points are the vertices of an isosceles triangle or not. Question 5 is a scenario-based question, in which you have to solve it by using the distance formula and find whether it is a square or not. Questions 6, 7, 8, 9 and 10 are based on equidistance. All the questions are to be solved with the distance formula.

Exercise 7.2

This exercise of CBSE NCERT Class 10 Maths Book consists of 10 questions. Questions 1 and question 2 are similar, in which you have to find the coordinates of the point that divides the join in the ratio 2:3. Question 3 is a scenario-based question, in which you have to find the distance between the line segments. Questions 4, 5, 8 and 9 are asked on the basis of the ratio of the line segments joining the given points.

Here, you have to find the coordinates of the point of division. Questions 6, 7 and 10 are based on the area of parallelogram and area of rhombus. All the 3 questions are to be solved in a similar way by using the distance formula.

Exercise 7.3

This exercise of NCERT Solutions for Class 10 Maths Chapter 7 consists of 5 questions. This exercise is based on the area of the triangle. Here you have to find either the given point or the vertices of the midpoints. Medians of a triangle and area of the quadrilateral are also covered in this exercise.

Exercise 7.4

This exercise consists of 8 questions. Question 1 is based on determining the ratio with which a given line divides the line segment joining the given points A and B. Question 2 asks to find whether the relation between X and Y are collinear. Question 3 is based on the centre of the circle. Here, you have to find the centre of the circle with the points passing through it. Question 4, 5, 6, 7 and 8 are long answer type questions. They are based on vertices of the square, vertices of triangle and quadrilaterals.

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