NCERT Solutions Class 10 Maths Chapter 7 — Coordinate Geometry#

Chapter 7 applies algebra to geometry using the Cartesian plane. You will use the Distance Formula to find the length between two points, the Section Formula to locate a point dividing a line segment in a given ratio, and find midpoints and points of trisection.

exercise 7.1 exercise 7.2

Exercises#

  • Exercise 7.1 — Distance formula between two points in a plane (10 questions)
  • Exercise 7.2 — Section formula, midpoint formula, and centroid of a triangle (10 questions)

What you will learn#

  • Find the distance between two points.
  • Use distances to check whether points are collinear and to identify squares, rhombuses and parallelograms.
  • Find the point that divides a segment in a given ratio (the section formula).
  • Find midpoints and points of trisection.

Key formulas and results#

  • Distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.
  • Section formula: $\left(\dfrac{m_1x_2 + m_2x_1}{m_1 + m_2}, \dfrac{m_1y_2 + m_2y_1}{m_1 + m_2}\right)$.
  • Midpoint: $\left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)$.

Read and revise#

Frequently asked questions#

How many exercises are in Class 10 Maths Chapter 7?
Two: Exercise 7.1 (10 questions) and Exercise 7.2 (10 questions) — 20 questions in all, each solved step by step here.
How do you show that three points are collinear?
Find the three distances between the points. They are collinear if the two shorter distances add up to the longest one.

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