Let a circle $C$ touch the lines $L _ { 1 } : 4 x - 3 y + K _ { 1 } = 0$ and $L _ { 2 } : 4 x - 3 y + K _ { 2 } = 0 , K _ { 1 } , \quad K _ { 2 } \in R$. If a line passing through the centre of the circle $C$ intersects $L _ { 1 }$ at $( -1, 2 )$ and $L _ { 2 }$ at $( 3 , - 6 )$, then the equation of the circle $C$ is (1) $( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$ (2) $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$ (3) $( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$ (4) $( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16$
Let a circle $C$ touch the lines $L _ { 1 } : 4 x - 3 y + K _ { 1 } = 0$ and $L _ { 2 } : 4 x - 3 y + K _ { 2 } = 0 , K _ { 1 } , \quad K _ { 2 } \in R$. If a line passing through the centre of the circle $C$ intersects $L _ { 1 }$ at $( -1, 2 )$ and $L _ { 2 }$ at $( 3 , - 6 )$, then the equation of the circle $C$ is\\
(1) $( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$\\
(2) $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$\\
(3) $( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$\\
(4) $( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16$