jee-main 2014 Q70

jee-main · India · 06apr Circles Circles Tangent to Each Other or to Axes

Let $C$ be the circle with center at $( 1,1 )$ and radius $= 1$. If $T$ is the circle centered at $( 0 , y )$, passing through the origin and touching the circle $C$ externally, then the radius of $T$ is equal to
(1) $\frac { 1 } { 2 }$
(2) $\frac { 1 } { 4 }$
(3) $\frac { \sqrt { 3 } } { \sqrt { 2 } }$
(4) $\frac { \sqrt { 3 } } { 2 }$

Let $C$ be the circle with center at $( 1,1 )$ and radius $= 1$. If $T$ is the circle centered at $( 0 , y )$, passing through the origin and touching the circle $C$ externally, then the radius of $T$ is equal to\\
(1) $\frac { 1 } { 2 }$\\
(2) $\frac { 1 } { 4 }$\\
(3) $\frac { \sqrt { 3 } } { \sqrt { 2 } }$\\
(4) $\frac { \sqrt { 3 } } { 2 }$

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