CBSE Class 10 Sample Paper for 2019 Boards

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Question 9 - CBSE Class 10 Sample Paper for 2019 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

Question 9

Find the coordinates of the point P which divides the join of A (–2, 5) and B(3, –5) in the ratio 2 : 3

Find coordinates of point P which divides the join of A (-2, 5) and B

Question 9 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2
Question 9 - CBSE Class 10 Sample Paper for 2019 Boards - Part 3

Transcript

Question 9 Find the coordinates of the point P which divides the join of A (–2, 5) and B(3, –5) in the ratio 2 : 3 Let coordinates of point P be P (x, y) Given that P divides AB in the ratio 2 : 3 Now, the formula is x = (𝑚_1 𝑥_2 + 𝑚_2 𝑥_1)/(𝑚_1 + 𝑚_2 ) y = (𝑚_1 𝑦_2 + 𝑚_2 𝑦_1)/(𝑚_1 + 𝑚_2 ) Here, m1 = 2 , m2 = 3 x1 = −2 , x2 = 3 y1 = 5, y2 = –5 x-coordinate x = (𝑚_1 𝑥_2 + 𝑚_2 𝑥_1)/(𝑚_1 + 𝑚_2 ) x = (2 × 3 + 3 × (−2))/(2 + 3) x = (6 − 6)/5 x = 0/5 x = 0 y-coordinate y = (𝑚_1 𝑦_2 + 𝑚_2 𝑦_1)/(𝑚_1 + 𝑚_2 ) y = (2 × (−5) + 3 × 5)/(2 + 3) y = (−10 + 15)/5 y = 5/5 y = 1 So, coordinates of point point P = (x, y) = (0, 1)

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.