Class 10 Mathematics — Chapter 7: Coordinate Geometry
60 practice questions · 22 Easy · 21 Medium · 17 Hard
Practise Class 10 Mathematics Chapter 7, "Coordinate Geometry", with 60 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 21 Medium and 17 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Coordinate Geometry" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Coordinate Geometry, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 60.
Key concepts: Coordinate Geometry (Class 10 Mathematics)
Coordinate geometry studies points using their (x, y) coordinates. This chapter finds the distance between two points and the point that divides a segment in a given ratio.
- Distance formula
- The straight-line distance between two points in the plane, found from the differences of their coordinates.
- Section formula
- The coordinates of a point that divides the join of two points internally in the ratio m₁ : m₂.
- Midpoint
- A special section in the ratio 1 : 1 — the average of the two endpoints' coordinates.
- Distance from origin
- For a point (x, y), the distance from the origin is √(x² + y²).
Key formulas — Coordinate Geometry
💡 Exam tips for Coordinate Geometry
- In the section formula, m₁ pairs with the second point's coordinates — keep the order consistent.
- Three points are collinear if the distance between the outer two equals the sum of the other two distances.
Sample questions
Distance between (0,0) and (3,4) is:
√(9+16) = 5.
Point dividing (2,3) and (8,9) in ratio 1:2 internally is:
((1·8+2·2)/3,(1·9+2·3)/3)=(12/3,15/3)=(4,5).
Centroid of triangle (0,0),(6,0),(0,6) is:
((0+6+0)/3,(0+0+6)/3)=(2,2).
Coordinate Geometry — FAQs
What are the key concepts in Class 10 Mathematics Coordinate Geometry?+
Coordinate geometry studies points using their (x, y) coordinates. This chapter finds the distance between two points and the point that divides a segment in a given ratio. Key ideas include Distance formula, Section formula, Midpoint, Distance from origin.
What does Class 10 Mathematics Chapter 7 (Coordinate Geometry) cover on XamBaaz?+
It covers 60 NCERT-aligned MCQs on "Coordinate Geometry" — 22 Easy, 21 Medium and 17 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Coordinate Geometry" questions free to practise?+
Yes — sign in with Google to practise "Coordinate Geometry" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Coordinate Geometry" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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