The point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is _____________
CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
Last updated at August 2, 2026 by Teachoo
Transcript
Question 11 The point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is _____________ Given points A (0, 5) and B (5, 0) Let point be P(x, y) divide AB in ratio 2 : 3 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 )) = ((2 × 5 + 3 × 0)/(2 + 3), (2 × 0 + 3 × 5)/(2 + 3)) = ((2 × 5)/5, (3 × 5)/5) = (2, 3) So, required point is (2, 3)