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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Question 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 βˆ† ABC = 0 1/2 [π‘₯1(𝑦2 βˆ’π‘¦3)+π‘₯2 (𝑦3βˆ’π‘¦1)+π‘₯3(𝑦1 βˆ’π‘¦2)] = 0 Here, x1 = x, y1 = y x2 = 1, y2 = 2 x3 = 7, y3 = 0 Putting the values 1/2 [π‘₯(2 βˆ’0)+1 (0βˆ’π‘¦)+7(𝑦 βˆ’2)] = 0 x (2) + 1 (βˆ’y) + 7 (y βˆ’ 2) = 0 Γ— 2 2x βˆ’ y + 7y βˆ’ 14 = 0 2x + 6y βˆ’ 14 = 0 2(x + 3y βˆ’ 7) = 0 x + 3y βˆ’ 7 = 0 ∴ x + 3y βˆ’ 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.