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A moving line intersects the lines x + y...

A moving line intersects the lines `x + y = 0` and `x-y= 0` at the points A, B respectively such that the area of the triangle with vertices (0, 0), A & B has a constant area C. The locus of the mid-point AB is given by the equation

A

`(x^(2)+y^(2))^(2)=C^(2)`

B

`(x^(2)-y^(2))^(2)=C^(2)`

C

`(x+y)^(2)=C^(2)`

D

`(x-y)^(2)=C^(2)`

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