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Ex 7.4, 2 Find a relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear. Let A(x, y), B (1, 2) and c (7, 0) be the 3 collinear Points If the above Points are collinear, they will lie on the same line, i.e. they will not form a triangle . So, Area of ∆ ABC = 0 1/2 [𝑥1(𝑦2 −𝑦3)+𝑥2 (𝑦3−𝑦1)+𝑥3(𝑦1 −𝑦2)] = 0 Here, x1 = x, y1 = y x2 = 1, y2 = 2 x3 = 7, y3 = 0 Putting the values 1/2 [𝑥(2 −0)+1 (0−𝑦)+7(𝑦 −2)] = 0 x (2) + 1 (−y) + 7 (y − 2) = 0 × 2 2x − y + 7y − 14 = 0 2x + 6y − 14 = 0 2(x + 3y − 7) = 0 x + 3y − 7 = 0 ∴ x + 3y − 7 = 0 is the required relation between x and y.

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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.