Maths · Coordinate geometry · chapter 7 of 14

Class 10 Maths Chapter 7: Coordinate Geometry Assertion-reason questions with answers

2 assertion-reason questions on Coordinate Geometry, each with its answer and the reason, written from the NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.

Question 1
Assertion (A): The distance from P(4, −3) to Q(−2, 5) equals the distance from Q to P; each is 10 units. Reason (R): For all real numbers x₁ and x₂, (x₁ − x₂)² = (x₂ − x₁)².
Show answer

Answer: (a) Both A and R are true, and R is the correct explanation of A.

PQ = √(36 + 64) = 10. Squaring removes the sign of each difference, so the order of the points does not matter; R explains A.

Question 2
Assertion (A): The distance between (2, 3) and (5, 7) is 5 units. Reason (R): The mid-point of a segment divides it in the ratio 1 : 1.
Show answer

Answer: (b) Both A and R are true, but R is not the correct explanation of A.

A: √(9 + 16) = 5, true. R is true, but it is about the mid-point, not the distance between two points, so it does not explain A.

Take the free Class 10 Maths testSee the Class 10 flashcards

← Chapter 6: TrianglesChapter 8: Introduction to Trigonometry →