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If a > 2b > 0, then the positive value o...

If a > 2b > 0, then the positive value of m for which `y=mx-bsqrt(1-m^2)` is a common tangent to `x^2+y^2=b^2` and `(x-a)^2 +y^2=b^2` is :

A

`(2 b)/(sqrt(a^(2)-4 b^(2)))`

B

`(sqrt(a^(2)-4 b^(2)))/(2 b)`

C

`(2 b)/(a-2 b)`

D

`(b)/(a-2 b)`

Text Solution

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The correct Answer is:
A
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