Question 20 - NCERT Exemplar - MCQ - Chapter 7 Class 10 Coordinate Geometry

Last updated at May 29, 2023 by

A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively

(A) (0, – 5) and (2, 0)  

(B) (0, 10) and (– 4, 0)

(C) (0, 4) and (– 10, 0)  

(D) (0, – 10) and (4, 0)

Slide43.JPG

Slide44.JPG

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

Transcript

Question 20 A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively (A) (0, – 5) and (2, 0) (B) (0, 10) and (– 4, 0) (C) (0, 4) and (– 10, 0) (D) (0, – 10) and (4, 0) Let co-ordinates of P be (0, y) Let co-ordinates of Q be (x, 0) Since A (2, −5) is mid-point of PQ (2,−5)=((0 + 𝑥)/2,(𝑦 + 0)/2) (2,−5)=(𝑥/2,𝑦/2) Comparing x and y coordinates 2 = 𝑥/2 2 × 2 = x x = 4 −5 = 𝑦/2 −5 × 2 = y y = −10 Thus, Coordinates of P = (0, y) = (0, −10) Coordinates of Q = (x, 0) = (4, 0) So, the correct answer is (D)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.