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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.