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Let a & b be any two numbers satisfying ...

Let a & b be any two numbers satisfying `1/a^2 + 1/b^2 = 1/4`.Then, the foot of the perpendicular from the origin on variable line `x/a + y/b = 1` lies on

A

a hyperbola with each semi - axis `= sqrt(2)`

B

a hyperbola with each semi - axis = 2

C

a circle of radius = 2

D

a circle of radius `= sqrt(2)`

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The correct Answer is:
C
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