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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  1. Class 10
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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 = ((๐‘š_1 ๐‘ฅ_2 + ๐‘š_2 ๐‘ฅ_1)/(๐‘š_1 + ๐‘š_2 ), (๐‘š_1 ๐‘ฆ_2 + ๐‘š_2 ๐‘ฆ_1)/(๐‘š_1 + ๐‘š_2 )) = ((2 ร— 4 + 1 ร— 1)/(2 + 1), (2 ร— 6 + 1 ร— 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 10 years. He provides courses for Maths and Science at Teachoo.