jee-main 2017 Q69

jee-main · India · 08apr Circles Tangent Lines and Tangent Lengths

If the common tangents to the parabola, $x ^ { 2 } = 4 y$ and the circle, $x ^ { 2 } + y ^ { 2 } = 4$ intersect at the point $P$, then the distance of $P$ from the origin (units), is:
(1) $2 ( 3 + 2 \sqrt { 2 } )$
(2) $3 + 2 \sqrt { 2 }$
(3) $\sqrt { 2 } + 1$
(4) $2 ( \sqrt { 2 } + 1 )$

If the common tangents to the parabola, $x ^ { 2 } = 4 y$ and the circle, $x ^ { 2 } + y ^ { 2 } = 4$ intersect at the point $P$, then the distance of $P$ from the origin (units), is:\\
(1) $2 ( 3 + 2 \sqrt { 2 } )$\\
(2) $3 + 2 \sqrt { 2 }$\\
(3) $\sqrt { 2 } + 1$\\
(4) $2 ( \sqrt { 2 } + 1 )$

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