Question 8 The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally lies in the (a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant
Let points be A (8, –9) and B (2, 3)
Let point be P(x, y) divide AB in ratio 1 : 2
Coordinates of P = ((𝑚_1 𝑥_2 + 𝑚_2 𝑥_1)/(𝑚_1 + 𝑚_2 ), (𝑚_1 𝑦_2 + 𝑚_2 𝑦_1)/(𝑚_1 + 𝑚_2 ))
= ((1 × 2 + 2 × 8)/(1 + 2), (1 × 3 + 2 × (−9))/(1 + 2))
= ((2 + 16)/3, (3 − 18)/3)
= (18/3, (−15)/3)
= (6, –5)
Since x is positive, y is negative
The point lies in 4th Quadrant
So, the correct answer is option D
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.