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If the line x+3y=0 is tangent at (0,0) t...

If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then the centre of one such circle is

A

(3,0)

B

`((-1)/(sqrt10),(3)/(sqrt(10))`

C

`((3)/(sqrt10),(-3)/(sqrt10))`

D

`((1)/(sqrt10),(3)/(sqrt10))`

Text Solution

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The correct Answer is:
D
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