The point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is _____________

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CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
Last updated at May 29, 2023 by Teachoo
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
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)