jee-main 2019 Q70

jee-main · India · session2_09apr_shift2 Circles Tangent Lines and Tangent Lengths
The common tangent to the circles $x ^ { 2 } + y ^ { 2 } = 4$ and $x ^ { 2 } + y ^ { 2 } + 6 x + 8 y - 24 = 0$ also passes through the point:
(1) $( 4 , - 2 )$
(2) $( - 4,6 )$
(3) $( 6 , - 2 )$
(4) $( - 6,4 )$
The common tangent to the circles $x ^ { 2 } + y ^ { 2 } = 4$ and $x ^ { 2 } + y ^ { 2 } + 6 x + 8 y - 24 = 0$ also passes through the point:\\
(1) $( 4 , - 2 )$\\
(2) $( - 4,6 )$\\
(3) $( 6 , - 2 )$\\
(4) $( - 6,4 )$