Question 37 (i) [Case based] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards
Last updated at Dec. 13, 2024 by Teachoo
Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players is represented as points on a coordinate plane.
Question 37 (i)
At an instance, the midfielders and forward formed a parallelogram. Find the position of the central midfielder (D) if the position of other players who formed the parallelogram are :- A(1,2), B(4,3) and C(6,6)
We know that
Diagonals of parallelogram bisect each other
So, O is the midβpoint of AC & BD
Finding midβpoint of AC
Mid-point of AC = ((π₯1 + π₯2)/2,(π¦1 +π¦2)/2)
= ((1 + 6)/2,(2 + 6)/2)
= (π/π,π/π)
Finding midβpoint of BD
Mid-point of BD = ((π₯1 + π₯2)/2,(π¦1 +π¦2)/2)
= ((π + π)/π,(π + π)/π)
Since O is mid-point of AC and BD
β΄ (π/π,π/π) =((π + π)/π,(π + π)/π)
Comparing x and y coordinates
Hence ,
x = 4 , y = 5
Thus,
Position of the central midfielder (D) = (x, y)
= (3, 5)
Made by
Davneet Singh
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 and Computer Science at Teachoo
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