If a point P has co-ordinates (0, $-$2) and Q is any point on the circle, x2 + y2 $-$ 5x $-$ y + 5 = 0, then the maximum value of (PQ)2 is :

Question

If a point P has co-ordinates (0, $-$2) and Q is any point on the circle, x² + y² $-$ 5x $-$ y + 5 = 0, then the maximum value of (PQ)² is :

${{25 + \sqrt 6 } \over 2}$

14 + $5\sqrt 3 $

${{47 + 10\sqrt 6 } \over 2}$

8 + 5$\sqrt 3 $

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