Question 37 (ii) (Choice 1) - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Aug. 4, 2023 by Teachoo

Check if the Goal keeper G(-3, 5), Sweeper H(3, 1) and Wing-back K(0,3) fall on a same straight line

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Given coordinates G(-3, 5), H(3, 1) and K(0,3) We need to check if they are in same straight line, i.e. we need to check collinear If points G, H, K are collinear, they will lie on the same line, i.e. they will not form triangle Therefore, Area of ∆GHK = 0 Now, finding Area of ∆GHK Area of ∆GHK = 1/2 [ x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2) ] Since G(-3, 5), H(3, 1) and K(0, 3) Here x1 = −3, y1 = 5 x2 = 3, y2 = 1 x3 = 0, y3 = 3 Now, Area of ∆GHK = 1/2 [−3(1 – 3) + 3(3 − 5) + 0(5 – 1)] = 1/2 [−3 × −2 + 3 × −2 + 0(5 – 1)] = 1/2 [6 − 6] = 1/2 × 0 = 0 Since Area of ∆GHK = 0 Thus, G, H and K fall on same line

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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.

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