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 Dec. 16, 2024 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 = ((π_1 π₯_2 + π_2 π₯_1)/(π_1 + π_2 ), (π_1 π¦_2 + π_2 π¦_1)/(π_1 + π_2 )) = ((2 Γ 5 + 3 Γ 0)/(2 + 3), (2 Γ 0 + 3 Γ 5)/(2 + 3)) = ((2 Γ 5)/5, (3 Γ 5)/5) = (2, 3) So, required point is (2, 3)