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Q.

If P (1, 2), Q (4, 6), R (5, 7) and S (a, b) are the vertices of a parallelogram PQRS then

-CBSE 

Class  

-Grade 10

-Diagonals of parallelogram  

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a

a = 2, b = 4 

b

a = 3, b = 4

c

a = 2, b = 3

d

a = 3, b = 5  

answer is C.

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Detailed Solution

 Question Image Mid point of PR = Mid point of SQ
(1+5/2 , 2+7/2) = (a+4/2 , b+6/2)
(3 , 9/2) = (a+4/2 , b+6/2)
On comoairing  a+4/2 = 3
a+4=6
a=2
b+6/2=a/2
b = 3
Hence option (c) is correct     
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If P (1, 2), Q (4, 6), R (5, 7) and S (a, b) are the vertices of a parallelogram PQRS then -CBSE  Class  -Grade 10 -Diagonals of parallelogram