jee-main 2018 Q69

jee-main · India · 16apr Circles Circles Tangent to Each Other or to Axes

If a circle $C$, whose radius is 3 , touches externally the circle $x ^ { 2 } + y ^ { 2 } + 2 x - 4 y - 4 = 0$ at the point $( 2,2 )$, then the length of the intercept cut by this circle $C$ on the $x$-axis is equal to
(1) $2 \sqrt { 3 }$
(2) $\sqrt { 5 }$
(3) $3 \sqrt { 2 }$
(4) $2 \sqrt { 5 }$

If a circle $C$, whose radius is 3 , touches externally the circle $x ^ { 2 } + y ^ { 2 } + 2 x - 4 y - 4 = 0$ at the point $( 2,2 )$, then the length of the intercept cut by this circle $C$ on the $x$-axis is equal to\\
(1) $2 \sqrt { 3 }$\\
(2) $\sqrt { 5 }$\\
(3) $3 \sqrt { 2 }$\\
(4) $2 \sqrt { 5 }$

Paper Questions

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