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) Β (b) (4, 6) Β (c) (4, 2) Β (d) (3, 5)
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
Last updated at Sept. 8, 2021 by Teachoo
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 = ((π_1 π₯_2 + π_2 π₯_1)/(π_1 + π_2 ), (π_1 π¦_2 + π_2 π¦_1)/(π_1 + π_2 )) = ((2 Γ 4 + 1 Γ 1)/(2 + 1), (2 Γ 6 + 1 Γ 3)/(2 + 1)) = ((8 + 1)/3, (12 + 3)/3) = (9/3, 15/3) = (3, 5) So, the correct answer is (d)