Question 37 (iii) - 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

If Defensive midfielder A(1,4), Attacking midfielder B(2,−3) and Striker E(a,b) lie on the same straight line and B is equidistant from A and E, find the position of E.

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Since Points A, B, E lie on the same straight line And B is equidistant from A and E ∴ B is the mid-point of AE Since B is the mid-point of AE Coordinates of B = ((𝑥1 + 𝑥2)/2,(𝑦1 +𝑦2)/2) (2, −3) = ((𝟏 + 𝒂)/𝟐,(𝟒 +𝒃)/𝟐) Comparing x and y coordinates 2 = (𝟏 + 𝒂)/𝟐 2 × 2 = 1 + a 4 = 1 + a 4 − 1 = a a = 3 −3 = (𝟒 + 𝒃)/𝟐 −3 × 2 = 4 + b −6 = 4 + b −6 – 4 = b b = −10 Thus, Position of the Striker (E) = (a, b) = (3, −10)

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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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