jee-main 2020 Q58

jee-main · India · session1_07jan_shift2 Circles Tangent Lines and Tangent Lengths
Let the tangents drawn from the origin to the circle, $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y + 16 = 0$ touch it at the points $A$ and $B$. Then $( A B ) ^ { 2 }$ is equal to
(1) $\frac { 52 } { 5 }$
(2) $\frac { 56 } { 5 }$
(3) $\frac { 64 } { 5 }$
(4) $\frac { 32 } { 5 }$
Let the tangents drawn from the origin to the circle, $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y + 16 = 0$ touch it at the points $A$ and $B$. Then $( A B ) ^ { 2 }$ is equal to\\
(1) $\frac { 52 } { 5 }$\\
(2) $\frac { 56 } { 5 }$\\
(3) $\frac { 64 } { 5 }$\\
(4) $\frac { 32 } { 5 }$