Q66. Let a circle passing through $( 2,0 )$ have its centre at the point $( h , k )$. Let $\left( x _ { c } , y _ { c } \right)$ be the point of intersection of the lines $3 x + 5 y = 1$ and $( 2 + c ) x + 5 c ^ { 2 } y = 1$. If $\mathrm { h } = \lim _ { \mathrm { c } \rightarrow 1 } x _ { \mathrm { c } }$ and $\mathrm { k } = \lim _ { \mathrm { c } \rightarrow 1 } y _ { \mathrm { c } }$, then the equation of the circle is : (1) $25 x ^ { 2 } + 25 y ^ { 2 } - 2 x + 2 y - 60 = 0$ (2) $5 x ^ { 2 } + 5 y ^ { 2 } - 4 x + 2 y - 12 = 0$ (3) $5 x ^ { 2 } + 5 y ^ { 2 } - 4 x - 2 y - 12 = 0$ (4) $25 x ^ { 2 } + 25 y ^ { 2 } - 20 x + 2 y - 60 = 0$
Q66. Let a circle passing through $( 2,0 )$ have its centre at the point $( h , k )$. Let $\left( x _ { c } , y _ { c } \right)$ be the point of intersection of the lines $3 x + 5 y = 1$ and $( 2 + c ) x + 5 c ^ { 2 } y = 1$. If $\mathrm { h } = \lim _ { \mathrm { c } \rightarrow 1 } x _ { \mathrm { c } }$ and $\mathrm { k } = \lim _ { \mathrm { c } \rightarrow 1 } y _ { \mathrm { c } }$, then the equation of the circle is :\\
(1) $25 x ^ { 2 } + 25 y ^ { 2 } - 2 x + 2 y - 60 = 0$\\
(2) $5 x ^ { 2 } + 5 y ^ { 2 } - 4 x + 2 y - 12 = 0$\\
(3) $5 x ^ { 2 } + 5 y ^ { 2 } - 4 x - 2 y - 12 = 0$\\
(4) $25 x ^ { 2 } + 25 y ^ { 2 } - 20 x + 2 y - 60 = 0$