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If a circle of radius R passes through t...

If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of the foot of perpendicular from O on AB is:

A

`(x^(2) +y^(2)) (x+y) = R^(2)xy`

B

`(x^(2) +y^(2))^(3) = 4R^(2) x^(2) y^(2)`

C

`(x^(2) +y^(2))^(2) = 4R x^(2)y^(2)`

D

`(x^(2) +y^(2))^(2)= 4R^(2) x^(2) y^(2)`

Text Solution

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The correct Answer is:
B
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