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.
CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard
Last updated at July 27, 2026 by Teachoo
Transcript
Since Points A, B, E lie on the same straight line And B is equidistant from A and E ā“ 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, ā3) = ((š + š)/š,(š +š)/š) Comparing x and y coordinates 2 = (š + š)/š 2 Ć 2 = 1 + a 4 = 1 + a 4 ā 1 = a a = 3 ā3 = (š + š)/š ā3 Ć 2 = 4 + b ā6 = 4 + b ā6 ā 4 = b b = ā10 Thus, Position of the Striker (E) = (a, b) = (3, ā10)