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 7 Class 10 Coordinate Geometry
Last updated at Dec. 16, 2024 by Teachoo
This question is simlar to Example 10 - Chapter 7 Class 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)
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