jee-main 2017 Q70

jee-main · India · 08apr Circles Optimization on a Circle

If a point $P ( 0 , - 2 )$ and $Q$ is any point on the circle, $x ^ { 2 } + y ^ { 2 } - 5 x - y + 5 = 0$, then the maximum value of $( P Q ) ^ { 2 }$ is
(1) $8 + 5 \sqrt { 3 }$
(2) $\frac { 47 + 10 \sqrt { 6 } } { 2 }$
(3) $14 + 5 \sqrt { 3 }$
(4) $\frac { 25 + \sqrt { 6 } } { 2 }$

If a point $P ( 0 , - 2 )$ and $Q$ is any point on the circle, $x ^ { 2 } + y ^ { 2 } - 5 x - y + 5 = 0$, then the maximum value of $( P Q ) ^ { 2 }$ is\\
(1) $8 + 5 \sqrt { 3 }$\\
(2) $\frac { 47 + 10 \sqrt { 6 } } { 2 }$\\
(3) $14 + 5 \sqrt { 3 }$\\
(4) $\frac { 25 + \sqrt { 6 } } { 2 }$

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