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A pair of lines S =0 together with the ...

A pair of lines S =0 together with the lines given by the equation
`8x^(2)-14xy+3y^(2)+10x+10y-25=0` form a parallelogram if its diagonals intersect at point (3,2) then the equation S=0 is

A

`6x^(2) - 9xy + y^(2) - 25 x + 30y + 25 =0`

B

`8x^(2) - 14y + 3y^(2) - 25x + 30y + 50 =0`

C

`8x^(2) -14xy + 3y^(2) -50 x + 50y + 75= 0`

D

`6x^(2) + 14 xy - 3y^(2) - 30x + 40y -75 = 0`

Text Solution

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The correct Answer is:
C
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