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If the chord of contact of the tangents from the point `(alpha, beta)` to the circle `x^(2)+y^(2)=r_(1)^(2)` is a tangent to the circle `(x-a)^(2)+(y-b)^(2)=r_(2)^(2)`, then

A

`r_(2)^(2)(alpha^(2)+beta^(2))=(r_(1)^(2)- a alpha - b beta)^(2)`

B

`r_(2)^(2)(alpha^(2)+beta^(2))=(r_(1)^(2)+a alpha=b beta)^(2)`

C

`r_(2)^(2)(alpha^(2)+beta^(2))=(r_(1)^(2)-a alpha +b beta)^(2)`

D

`r_(2)^(2)(alpha^(2)+beta^(2))=(r_(1)^(2)+a alpha+b beta)^(2)`

Text Solution

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The correct Answer is:
A
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