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The line y=x is a tangent at (0,0) to a ...

The line `y=x` is a tangent at `(0,0)` to a circle of radius unity. The center of the circle is

A

either `(-(1)/(2), (1)/(2)) or ((1)/(2), -(1)/(2))`

B

either `((1)/(sqrt(2)), (1)/(sqrt(2)) or (-(1)/(sqrt(2)), -(1)/(sqrt(2)))`

C

either `((1)/(sqrt(2)), -(1)/(sqrt(2)) or (-(1)/(sqrt(2)), -(1)/(sqrt(2)))`

D

either (1, 0) or (-1, 0)

Text Solution

Verified by Experts

The correct Answer is:
C
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