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The inverse point of (1, -1) with respect to x2+y2=4, is

a
(-1, 1)
b
(-2, 2)
c
(1, -1)
d
(2, -2)

detailed solution

Correct option is D

We know that two points are inverse points with respect to a circle if each lies on the polar of the other. The polar of (1, -1) with respect to x2+y2=4 is  x-y=4Clearly, (2, - 2) lies on it. Hence, the inverse point of (1, -1) with respect of x2+y2=4 is  (1,-1).

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