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.
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
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)
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.
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.
Please login to view more pages. It's free :)
Teachoo gives you a better experience when you're logged in. Please login :)
Solve all your doubts with Teachoo Black!
Teachoo answers all your questions if you are a Black user!