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 April 16, 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)
Transcript
We know that
Diagonals of parallelogram bisect each other
So, O is the midโpoint of AC & BD
Finding midโpoint of AC
Mid-point of AC = ((๐ฅ1 + ๐ฅ2)/2,(๐ฆ1 +๐ฆ2)/2)
= ((1 + 6)/2,(2 + 6)/2)
= (๐/๐,๐/๐)
Finding midโpoint of BD
Mid-point of BD = ((๐ฅ1 + ๐ฅ2)/2,(๐ฆ1 +๐ฆ2)/2)
= ((๐ + ๐)/๐,(๐ + ๐)/๐)
Since O is mid-point of AC and BD
โด (๐/๐,๐/๐) =((๐ + ๐)/๐,(๐ + ๐)/๐)
Comparing x and y coordinates
Hence ,
x = 4 , y = 5
Thus,
Position of the central midfielder (D) = (x, y)
= (3, 5)
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.
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