NCERT Class 10 Maths · Chapter 7
NCERT Solutions Class 10 Maths Chapter 7 — Coordinate Geometry
Step-by-step solutions for all exercises in NCERT Class 10 Maths Coordinate Geometry.
Chapter Overview
Apply distance formula, section formula, and area of a triangle in the coordinate plane.
This chapter is part of the NCERT Mathematics textbook for Class 10 and is important for CBSE school examinations. The concepts covered here build the foundation for more advanced topics in higher classes.
Below you will find solved examples from this chapter. Each solution includes detailed step-by-step working so you can understand the method, not just the answer.
Solved Examples from Coordinate Geometry
1Find the distance between the points $(0, 0)$ and $(3, 4)$.
Answer: 5
Solution:
Step 1: $d = \sqrt{(3-0)^2 + (4-0)^2} = \sqrt{9 + 16}$ [= \sqrt{25} = 5]
2The midpoint of the line segment joining $(2, 4)$ and $(6, 8)$ is:
Answer: $(4, 6)$
Solution:
Step 1: Midpoint $= \left(\frac{2+6}{2}, \frac{4+8}{2}\right)$ [= (4, 6)]
3The distance of the point $(5, 12)$ from the origin is:
Answer: 13
Solution:
Step 1: $d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144}$ [= \sqrt{169} = 13]
4The coordinates of the point which divides the line segment joining $(1, 3)$ and $(5, 7)$ in the ratio $1:1$ are:
Answer: $(3, 5)$
Solution:
Step 1: Ratio $1:1$ is the midpoint.
Step 2: $= \left(\frac{1+5}{2}, \frac{3+7}{2}\right)$ [= (3, 5)]
5Find the distance between $(1, 1)$ and $(4, 5)$.
Answer: 5
Solution:
Step 1: $d = \sqrt{(4-1)^2 + (5-1)^2} = \sqrt{9 + 16}$ [= 5]
Practice All Questions
Solve 60+ questions interactively with instant feedback and AI doubt clearing.
Download Worksheet
Get a printable PDF worksheet for Coordinate Geometry with questions and answer key.
Related Chapters
Frequently Asked Questions
Where can I find NCERT Solutions for Class 10 Maths Chapter 7?+
Are these NCERT Solutions for Class 10 Coordinate Geometry updated for 2025-26?+
How to score full marks in Class 10 Coordinate Geometry?+
Is Coordinate Geometry important for Class 10 exams?+
Can I practice more questions on Coordinate Geometry?+
Master Coordinate Geometry on SparkEd
Go beyond NCERT solutions. Practice at three difficulty levels with instant feedback, solutions, and an AI coach to clear every doubt.
Start Practising FreeSparkEd Maths provides free NCERT Solutions for Class 6-10 Mathematics aligned to the latest 2025-26 syllabus with step-by-step explanations and interactive practice.