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Given that a gt 2b gt 0 and that the...

Given that `a gt 2b gt 0 ` and that the line ` y = mx - b sqrt(1 + m^(2))` is a common tangent to the circles `x^(2) +y^(2) = b^(2) and (x - a)^(2) + y^(2) = b^(2)` . Then the positive value of m is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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