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The co-ordinates of the point P dividing the line segment joining the points A (1, 3) and B (4, 6) internally in the ratio 2:1 are

(a) (2, 4)   (b) (4, 6)   (c) (4, 2)   (d) (3, 5)

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Question 12 The co-ordinates of the point P dividing the line segment joining the points A (1, 3) and B (4, 6) internally in the ratio 2:1 are (a) (2, 4) (b) (4, 6) (c) (4, 2) (d) (3, 5) Given points A (1, 3) and B (4, 6) Let point be P(x, y) divide AB in ratio 2 : 1 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 × 4 + 1 × 1)/(2 + 1), (2 × 6 + 1 × 3)/(2 + 1)) = ((8 + 1)/3, (12 + 3)/3) = (9/3, 15/3) = (3, 5) So, the correct answer is (d)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.