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.

[SQP] If Defensive midfielder A(1,4), Attacking midfielder B(2,-3) - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

part 2 - Question 37 (iii) - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10
part 3 - Question 37 (iii) - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

Remove Ads

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 = ((š‘„1 + š‘„2)/2,(š‘¦1 +š‘¦2)/2) (2, āˆ’3) = ((šŸ + š’‚)/šŸ,(šŸ’ +š’ƒ)/šŸ) Comparing x and y coordinates 2 = (šŸ + š’‚)/šŸ 2 Ɨ 2 = 1 + a 4 = 1 + a 4 āˆ’ 1 = a a = 3 āˆ’3 = (šŸ’ + š’ƒ)/šŸ āˆ’3 Ɨ 2 = 4 + b āˆ’6 = 4 + b āˆ’6 – 4 = b b = āˆ’10 Thus, Position of the Striker (E) = (a, b) = (3, āˆ’10)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.