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

The line `y=x` is tangent at (0, 0) to a circle of radius 1. The centre of the circle is :

A

`(1/(sqrt(2)), 1/(sqrt(2)))`

B

`(1/(2sqrt(2))-1/(sqrt(2)))`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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