Class 10 Maths Coordinate Geometry Chapter 7 NCERT Solutions provides clear, step-by-step solutions to the questions and exercises from the NCERT Class 10 Mathematics textbook. This chapter is important for understanding the distance formula, section formula and area of a triangle using coordinates.Class 10 Maths NCERT Solutions provide clear, step-by-step explanations of chapter-wise NCERT Maths to help students understand concepts and prepare effectively for CBSE exams.

Students can use these solutions to understand the concepts, learn the correct methods and practise different types of questions for CBSE Board examinations.

Class 10 Maths Coordinate Geometry – Chapter 7

Coordinate Geometry connects algebra with geometry by representing points and geometric figures on a coordinate plane. In this chapter, students learn how to find distances between points, determine the coordinates of points dividing a line segment and calculate the area of a triangle using coordinates.

What You’ll Learn in Coordinate Geometry

The important concepts covered in Class 10 Maths Chapter 7 – Coordinate Geometry include:

• Cartesian coordinate plane
• Coordinates of points
• Distance between two points
• Distance formula
• Section formula
• Internal division of a line segment
• Coordinates of the midpoint
• Area of a triangle
• Collinearity of points
• Applications of coordinate geometry
• NCERT exercise questions
• Important questions and exam-based problems

Class 10 Coordinate Geometry Formulas

Distance Formula

For two points A(x₁​,y₁​) and B(x₂​,y₂)​, the distance between them is:

This formula is one of the most important formulas in Class 10 Coordinate Geometry.

Section Formula

If a point P(x,y) divides the line segment joining A(x₁​,y₁​) and B(x₂​,y₂)​ in the ratio m:n, then:

For the section formula heading/explanation, you can write:

If a point P(x,y) divides the line segment joining A(x₁​,y₁​) and B(x₂​,y₂) internally in the ratio m:n, then its coordinates are:

Midpoint Formula

The midpoint of the line segment joining A(x₁​,y₁​) and B(x₂​,y₂) is:

$$M\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$$

Area of a Triangle

For three points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃), the area of the triangle is:

Area = x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂) 2

Class 10 Maths Chapter 7 NCERT Solutions Updated for 2026-27

Exercise 7.1 – Coordinate Geometry

Class 10 Maths Exercise 7.1 Solutions provide clear, step-by-step explanations for the questions from NCERT Class 10 Mathematics Chapter 7 – Coordinate Geometry. This exercise focuses on the distance formula and helps students learn how to calculate the distance between two points on the coordinate plane.

Students can use these solutions to understand the correct application of the distance formula, solve different types of coordinate geometry problems, check their answers and strengthen their preparation for the CBSE Class 10 Maths 2026–27 examination.

Exercise 7.2 – Coordinate Geometry

Class 10 Maths Exercise 7.2 Solutions provide clear, step-by-step explanations for all the questions from NCERT Class 10 Mathematics Chapter 7 – Coordinate Geometry. These solutions help students understand how to apply the section formula to find the coordinates of a point dividing a line segment in a given ratio.

Students can use these solutions to understand the correct method, check their answers, avoid common calculation mistakes and prepare effectively for CBSE Class 10 Maths 2026–27 examinations.

Important Questions from Coordinate Geometry

Practising important questions is useful for both CBSE Board Exam preparation and school examinations.

Question 1 – Distance Formula

Find the distance between two given points using the distance formula.

Question 2 – Section Formula

Find the coordinates of a point that divides a line segment in a given ratio.

Question 3 – Midpoint

Find the midpoint of the line segment joining two given points.

Question 4 – Area of Triangle

Find the area of a triangle whose vertices are given by their coordinates.

Question 5 – Collinearity

Determine whether three given points are collinear.

These types of questions should be practised carefully because they test both formula knowledge and application.

How to Solve Coordinate Geometry Questions

Follow these steps when solving a coordinate geometry problem:

1. Read the question carefully.
2. Identify the coordinates given.
3. Determine which formula is required.
4. Substitute the values carefully.
5. Simplify the calculation step by step.
6. Check signs of positive and negative coordinates.
7. Write the final answer clearly.
8. Check whether the answer is reasonable.

Important Tip

Pay special attention to negative signs while substituting coordinates. Many mistakes in Coordinate Geometry occur because students incorrectly handle negative values.

Class 10 Coordinate Geometry MCQs

1. Which formula is used to find the distance between two points?

A. Section formula
B. Distance formula
C. Midpoint formula
D. Area formula

Answer: B. Distance formula

2. What is the midpoint formula used to find?

A. Area of a triangle
B. Distance between two points
C. Coordinates of the midpoint of a line segment
D. Slope of a line

Answer: C. Coordinates of the midpoint of a line segment

3. If the area of a triangle formed by three points is zero, then the points are:

A. Perpendicular
B. Parallel
C. Collinear
D. Equidistant

Answer: C. Collinear

Class 10 Maths Coordinate Geometry Previous Year Questions

CBSE Previous Year Questions (PYQs)

• Class 10 Coordinate Geometry 2-mark questions
• Class 10 Coordinate Geometry 3-mark questions
• Class 10 Coordinate Geometry 5-mark questions
• Coordinate Geometry case-based questions
• Coordinate Geometry competency-based questions

This section can become particularly valuable for students preparing for the Class 10 CBSE Board Exam.

Class 10 Maths Coordinate Geometry Full Video Solutions

Watch the Class 10 Maths Coordinate Geometry Full Video Solutions to understand the complete Chapter 7 – Coordinate Geometry in a clear, step-by-step manner. The video covers important NCERT questions, formulas and different types of problems based on distance formula, section formula, midpoint and area of a triangle.

These solutions are useful for CBSE Class 10 Maths 2026–27 preparation and help students understand the correct method of solving NCERT questions rather than simply memorising answers.

Watch the full video, practise each question yourself, and revise the important formulas for better exam preparation.

You can also place individual videos under the corresponding exercise or question.

This creates a useful connection between your Future Study Point website and YouTube channel.

How These Class 10 Coordinate Geometry Solutions Help

These solutions are designed to help students:

• Understand coordinate geometry concepts
• Learn formulas correctly
• Solve NCERT questions step by step
• Practise important questions
• Prepare for CBSE examinations
• Revise important formulas
• Improve problem-solving skills
• Check their answers

Explore More Class 10 Maths Solutions

• Class 10 Maths Questions & Solutions
• Class 10 Maths NCERT Solutions
• Class 10 Maths Important Questions
• Class 10 Maths Previous Year Question Papers
• Class 10 Maths Sample Papers
• Class 10 Maths MCQs
• Class 10 Maths Chapter-wise Solutions

Conclusion

Class 10 Maths Coordinate Geometry Chapter 7 NCERT Solutions helps students understand important concepts such as the distance formula, section formula, midpoint formula and area of a triangle.

Students should first attempt each NCERT question themselves and then use the step-by-step solutions to identify mistakes and understand the correct method. Regular practice of NCERT questions, important questions, PYQs and sample-paper questions can help students prepare confidently for their CBSE Class 10 Mathematics examination.

Class 10 Maths Most Important Questions on Real Numbers

Class 10 Maths Most Important Questions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions CBSE 2026-27 Update

Continue your Class 10 Maths preparation with these useful resources from Future Study Point:

Class 10 Maths Chapter 1 – Real Numbers: Complete NCERT Exercise-Wise Video Solutions

Class 10 Maths Chapter 2 – Polynomials: Complete NCERT Solutions for Polynomials

Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables: Complete NCERT Solutions

Class 10 Maths Chapter 4 Quadratic Equations: – Quadratic Equations complete NCERT video solutions

Class 10 Maths Chapter 5 Arithmetic Progression: Arithmetic Progression: complete video solution

👉 Explore these resources to strengthen your concepts, revise important topics, and prepare effectively for the CBSE Class 10 Maths Board Examination 2026–27.