## 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

This question is simlar to

Example 10 - Chapter 7Class 10 Coordinate Geometry

Last updated at April 16, 2024 by Teachoo

This question is simlar to

Example 10 - Chapter 7Class 10 Coordinate Geometry

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) β7 (D) β8 Since PQRS is a parallelogram Itβs Diagonals bisect each other Therefore, Mid point of SQ = Mid point of PR ((0 + 5)/2,(3 + π¦)/2)=((2 + 3)/2,(4 + 6)/2) (5/2,(3 + π¦)/2)=(5/2,10/2) (5/2,(3 + π¦)/2)=(5/2,5) Since, we have to find value of y Comparing y-coordinate (3 + π¦)/2=5 3 + y = 5 Γ 2 3 + y = 10 y = 10 β 3 y = 7 So, the correct answer is (A)