NCERT Solutions for class 10 Maths chapter 7: Coordinate Geometry

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The NCERT solutions for class 10 maths chapter 7 Coordinate Geometry are provided in the article to help students prepare for their class 10 maths board exam. Coordinate Geometry is a branch of geometry that helps in determining the position of points in a plane with the help of ordered pair of numbers called coordinates.

Chapter 7 Coordinate Geometry is a part of Unit 3 Coordinate Geometry as per the class 10 syllabus 2022-23. This chapter carries a weightage of 06 marks in cbse class 10 maths board exam. The important topics from this chapter includes distance formula, section formula and area of a triangle.

Download: NCERT Solutions for Class 10 Maths Chapter 7 pdf

NCERT Solutions for Class 10 Maths Chapter 7

Class 10 Maths Chapter 7 Coordinate Geometry: Important Topics

The important topics of chapter 7 coodinate geometry are given below:

Distance Formula – In coordinate geometry, distance formula is used to find the distance between two points in a coordinate plane. It is derived with the help of Pythagoras theorem.

Distance formula, for two points say P and Q with coordinates (x₁,y₁) and (x₂,y₂) respectively, is given by;

\(PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Section Formula – Section formula is used to find the coordinates of the point that divides a line segment into two ratios.

Section formula, for a point P dividing a line segment AB with A (x₁,y₁) and B (x₂,y₂) in the ratio m₁:m₂ , is given by;

\(P(x,y) = (\frac{m_1x_2 + m_2x_1}{m_1 + m_2} , \frac{m_1y_2 + m_2y_1}{m_1 + m_2})\)

Area of a Triangle – Area of a Triangle can be calculated when coordinates of the vertices of the triangle are given.

The formula for calculating area of a triangle ABC with vertices A (x₁,y₁), B (x₂,y₂) and C (x₃,y₃) is given by;

\(Area = \frac{1}{2} [x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)]\)

NCERT Solutions for Class 10 Maths Chapter 7 Exercises:

The NCERTsolutions of all the exercises of class 10 maths chapter 7 Coordinate Geometry are given below:

Read Also:

Two-Dimensional Coordinate Geometry	Coordinate Geometry MCQs	Coordinate Geometry Important Questions
Quadrant	Centroid	Ordinate
Triangles	Polar Coordinates	Geometry Formula

Study Materials for Class 10 Maths:

Algebra	Mensuration Formula	Number System
Geometry	Important Formulas in Maths	Class 10 Maths Notes

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