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If the line ax+by =1 is a tangent to the...

If the line `ax+by =1` is a tangent to the circle `S_(r) equiv x^(2)+y^(2)-r^(2)=0`, then which one of the following is true ?

A

(a, b) lies on the circle `S_(1)=0`

B

(a, b) lies inside the circle `S_(1)=0`

C

(a, b) lies outside the circle `S_(2)=0`

D

(a, b) lies on the circle `S_(3)=0`

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The correct Answer is:
A
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