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)

Ques 12 (MCQ) - The co-ordinates of the point P dividing line segment - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 12 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - 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 = ((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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo