16. If $a > 2 b > 0$ then the positive value of $m$ for which $y = m x - b \sqrt { } \left( 1 + m ^ { 2 } \right)$ is $a$ common tangent to $x ^ { 2 } + y ^ { 2 } = b ^ { 2 }$ and $( x - a ) ^ { 2 } + y ^ { 2 } = b ^ { 2 }$ is (A) $2 b / \sqrt { } \left( a ^ { 2 } - 4 b ^ { 2 } \right)$ (B) $\quad \sqrt { } \left( a ^ { 2 } - 4 b ^ { 2 } \right) / 2 b$
III askllTians ||
... Powered By IITians (C) $2 \mathrm {~b} / ( \mathrm { a } - 2 \mathrm {~b} )$ (D) $\mathrm { b } / ( \mathrm { a } - 2 \mathrm {~b} )$
16. If $a > 2 b > 0$ then the positive value of $m$ for which $y = m x - b \sqrt { } \left( 1 + m ^ { 2 } \right)$ is $a$ common tangent to $x ^ { 2 } + y ^ { 2 } = b ^ { 2 }$ and $( x - a ) ^ { 2 } + y ^ { 2 } = b ^ { 2 }$ is\\
(A) $2 b / \sqrt { } \left( a ^ { 2 } - 4 b ^ { 2 } \right)$\\
(B) $\quad \sqrt { } \left( a ^ { 2 } - 4 b ^ { 2 } \right) / 2 b$
\section*{III askllTians ||}
... Powered By IITians\\
(C) $2 \mathrm {~b} / ( \mathrm { a } - 2 \mathrm {~b} )$\\
(D) $\mathrm { b } / ( \mathrm { a } - 2 \mathrm {~b} )$\\