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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

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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 = (π‘š_1 π‘₯_2 + π‘š_2 π‘₯_1)/(π‘š_1 + π‘š_2 ) y = (π‘š_1 𝑦_2 + π‘š_2 𝑦_1)/(π‘š_1 + π‘š_2 ) Here, m1 = 2 , m2 = 3 x1 = βˆ’2 , x2 = 3 y1 = 5, y2 = –5 x-coordinate x = (π‘š_1 π‘₯_2 + π‘š_2 π‘₯_1)/(π‘š_1 + π‘š_2 ) x = (2 Γ— 3 + 3 Γ— (βˆ’2))/(2 + 3) x = (6 βˆ’ 6)/5 x = 0/5 x = 0 y-coordinate y = (π‘š_1 𝑦_2 + π‘š_2 𝑦_1)/(π‘š_1 + π‘š_2 ) y = (2 Γ— (βˆ’5) + 3 Γ— 5)/(2 + 3) y = (βˆ’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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.