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Questions  

 Two sides of a parallelogram are along the lines x+y=3 and xy+3=0 . If its 

 diagonals intersect at (2,4) then one of its vertex is 

a
3,5
b
2,1
c
2,6
d
3,6

detailed solution

Correct option is D

solving the given equations A(0,3) and  P2,4 is the midpoint using midpoint formula we get C(4,5)given lines are perpendicular hence the figure formed is a rectanglelet the equation of BC be x-y+k=0 sub C we get k=1let the equation of CD be x+y+c=0 sub C we get c=-9solving BC and AB we get B(1,2)solving CD and AD we get D(3,6) D3,6

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