A and B are two variable points on x, y ...

A and B are two variable points on x, y axes respectively such that `OA+OB=c`. The locus of the foot of the perpendicular from origin on this line `overset(" "harr)("AB")` is

A

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

B

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

C

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

D

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

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The correct Answer is:

C

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