CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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

Last updated at April 16, 2024 by

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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Transcript

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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.