Question 5 If P (2, 4), Q (0, 3), R (3, 6) and S (5, y) are the vertices of a parallelogram PQRS, then the value of y is (A) 7 (B) 5 (C) −7 (D) −8
Since PQRS is a parallelogram
It’s Diagonals bisect each other
Therefore,
Mid point of SQ = Mid point of PR
((0 + 5)/2,(3 + 𝑦)/2)=((2 + 3)/2,(4 + 6)/2)
(5/2,(3 + 𝑦)/2)=(5/2,10/2)
(5/2,(3 + 𝑦)/2)=(5/2,5)
Since, we have to find value of y
Comparing y-coordinate
(3 + 𝑦)/2=5
3 + y = 5 × 2
3 + y = 10
y = 10 − 3
y = 7
So, the correct answer is (A)

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.

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