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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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‘š_1 π‘₯_2 + π‘š_1 π‘₯_1)/(π‘š_1 + π‘š_2 ), (π‘š_1 𝑦_2 + π‘š_2 𝑦_1)/(π‘š_1 + π‘š_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)

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Davneet Singh
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.