Coordinate Geometry CBSE Class 10 PYQ Chapter Wise

Explore: All CBSE Class 10 chapters · CBSE Class 10 Mathematics PYQs · CBSE Class 10 hub · Syllabus & pattern · Class 10 2026

Answer first

Coordinate Geometry PYQs (previous year questions) for CBSE Class 10: Coordinate Geometry (Mathematics) had 32 questions across the 40 official CBSE Class 10 papers we tagged (2016–2026), and appeared in 9 of them. Asked in 9 of 10 years. The concepts asked in the most papers: Distance Formula, Section Formula, Midpoint Formula.

Year-wise question count

Asked in 9 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Coordinate Geometry PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Coordinate Geometry questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.

CBSE Class 102026

• Q.8 (Mathematics Standard (30/1/1)) · MCQ · Midpoint Formula: Where the midpoint of a given segment lies PDF
• Q.23 (Mathematics Standard (30/1/1)) · Very short answer · Distance Formula: Find x so a circle with given centre passes through a point PDF
• Q.27 (Mathematics Standard (30/1/1)) · Short answer · Section Formula: Ratio in which x-axis divides a segment and intersection point PDF

CBSE Class 102025

• Q.3 (Mathematics Standard (30/1/1)) · MCQ · Midpoint Formula: Where the midpoint of a given segment lies PDF
• Q.23 (Mathematics Standard (30/1/1)) · Very short answer · Distance Formula: Find a when circle with given centre passes through a point PDF
• Q.28 (Mathematics Standard (30/1/1)) · Short answer · Section Formula: Ratio in which y-axis divides a segment and intersection point PDF

CBSE Class 102024

• Q.6 (Mathematics Standard (30/1/1)) · MCQ · Midpoint Formula: Length of median AD from vertex coordinates PDF
• Q.11 (Mathematics Standard (30/1/1)) · MCQ · Distance Formula: Values of x given distance 15 between two points PDF
• Q.17 (Mathematics Standard (30/1/1)) · MCQ · Midpoint Formula: Other end of diameter from centre and one end PDF
• Q.26 (Mathematics Standard (30/1/1)) · Short answer · Section Formula: Ratio in which a point divides a segment and value of y PDF

CBSE Class 102023

• Q.4 (Mathematics Standard (30/1/1)) · MCQ · Section Formula: Ratio in which x-axis divides a segment PDF
• Q.13 (Mathematics Standard (30/1/1)) · MCQ · Distance Formula: Distance between two points on the axes PDF
• Q.19 (Mathematics Standard (30/1/1)) · Assertion-Reason · Points on Axes: Assertion-reason on y-intercept of a line and distance from x-axis PDF
• Q.28 (Mathematics Standard (30/1/1)) · Short answer · Distance Formula: Third vertex of an equilateral triangle with origin inside PDF

CBSE Class 102020

• Q.8 (Mathematics Standard (30/1/1)) · MCQ · Distance Formula: Distance between two points with trigonometric coordinates PDF
• Q.9 (Mathematics Standard (30/1/1)) · MCQ · Section Formula: Find k when P divides a segment in ratio 1:2 PDF
• Q.10 (Mathematics Standard (30/1/1)) · MCQ · Collinearity: Value of p for three collinear points PDF
• Q.30 (Mathematics Standard (30/1/1)) · Short answer · Area of Triangle: Area of triangle from three vertices PDF

CBSE Class 102019

• Q.1 (Mathematics (30/1/1)) · Very short answer · Midpoint Formula: Other end of a diameter from centre and one end PDF
• Q.9 (Mathematics (30/1/1)) · Short answer · Section Formula: Ratio in which x-axis divides a segment and the point PDF
• Q.16 (Mathematics (30/1/1)) · Short answer · Distance Formula: Point on y-axis equidistant from two given points PDF

CBSE Class 102018

• Q.3 (Mathematics (30/1)) · Very short answer · Distance Formula: Distance of a general point from the origin PDF
• Q.10 (Mathematics (30/1)) · Short answer · Section Formula: Ratio in which a point divides a segment and value of m PDF
• Q.15 (Mathematics (30/1)) · Short answer · Distance Formula: Find a, b for a parallelogram and its side lengths PDF

CBSE Class 102017

• Q.9 (Mathematics (30/1)) · Short answer · Midpoint Formula: Axis intercept points of a line from given midpoint PDF
• Q.10 (Mathematics (30/1)) · Short answer · Distance Formula: Equidistant point condition to prove a linear relation PDF
• Q.15 (Mathematics (30/1)) · Short answer · Section Formula: Ratio in which a point divides a segment and its y-coordinate PDF
• Q.28 (Mathematics (30/1)) · Long answer · Collinearity: Find k for three points to be collinear PDF

CBSE Class 102016

• Q.6 (Mathematics (30/1)) · Short answer · Section Formula: Coordinates of points of trisection of a segment PDF
• Q.8 (Mathematics (30/1)) · Short answer · Distance Formula: Show three points form a right isosceles triangle PDF
• Q.13 (Mathematics (30/1)) · Short answer · Distance Formula: Equidistant point condition to prove bx=ay PDF
• Q.28 (Mathematics (30/1)) · Long answer · Area of Triangle: Area of triangle ADE versus ABC with AD/AB = 1/3 PDF

Coordinate Geometry in other exams

The same chapter in other official papers we tagged: JEE Advanced (51 questions), JEE Main (42 questions).

Other Mathematics chapters

• Real Numbers PYQs
• Polynomials PYQs
• Pair of Linear Equations in Two Variables PYQs
• Quadratic Equations PYQs
• Arithmetic Progressions PYQs
• Triangles PYQs
• Introduction to Trigonometry PYQs
• Some Applications of Trigonometry PYQs
• Circles PYQs
• Constructions PYQs
• Areas Related to Circles PYQs
• Surface Areas and Volumes PYQs
• Statistics PYQs
• Probability PYQs

FAQ

How many Coordinate Geometry questions come in CBSE Class 10?

In the official papers we tagged: 3 in 2026, 3 in 2025, 4 in 2024, 4 in 2023, 4 in 2020, 3 in 2019, 3 in 2018, 4 in 2017 and 4 in 2016. Not asked in the other year. That is 32 questions in all, about 10% of Mathematics.

Which Coordinate Geometry topics repeat in CBSE Class 10?

Asked in the most papers: Distance Formula, Section Formula, Midpoint Formula. The concept table lists every one with its count.

Are these official CBSE Class 10 questions?

Yes. Every question is from an official CBSE Class 10 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.