jee-main 2020 Q55

jee-main · India · session2_05sep_shift1 Circles Tangent Lines and Tangent Lengths

If the common tangent to the parabolas, $y ^ { 2 } = 4 x$ and $x ^ { 2 } = 4 y$ also touches the circle, $x ^ { 2 } + y ^ { 2 } = c ^ { 2 }$, then $c$ is equal to :
(1) $\frac { 1 } { 2 \sqrt { 2 } }$
(2) $\frac { 1 } { \sqrt { 2 } }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 1 } { 2 }$

If the common tangent to the parabolas, $y ^ { 2 } = 4 x$ and $x ^ { 2 } = 4 y$ also touches the circle, $x ^ { 2 } + y ^ { 2 } = c ^ { 2 }$, then $c$ is equal to :\\
(1) $\frac { 1 } { 2 \sqrt { 2 } }$\\
(2) $\frac { 1 } { \sqrt { 2 } }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 1 } { 2 }$

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