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Ex 7.2, 1 Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2 : 3. Let the given points be A(−1, 7) & B(4, −3) Let the point be P(x , y) which divides AB in ratio 2:3 Here, x = (𝑚_1 𝑥_2 + 𝑚_1 𝑥_1)/(𝑚_1 + 𝑚_2 ) Where, m1 = 2 , m2 = 3 x1 = −1 , x2 = 4 Hence, putting values x = (2 × 4 + 3 × −1)/(2 + 3) x = (8 − 3)/5 x = 5/5 x = 1 Now, finding y y = (𝑚_1 𝑦_2 + 𝑚_2 𝑦_1)/(𝑚_(1 )+ 𝑚_2 ) Where, m1 = 2, m2 = 3 x1 = 7, x2 = −3 Hence, putting values y = (2 × −3 + 3 ×7)/(2 + 3) y = (−6 + 21 )/5 y = 15/5 y = 3 Hence x = 1, y = 3 So, the required point is P(x, y) = P(1, 3)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.