Given : A circle, $2x^2 + 2y^2 = 5 $ and a parabola. $y^2 = 4 \sqrt{5} x$. <br> Statement - I : An equation of a common tangent to these curves is $y = x+\sqrt{5}$. <br> Statement - II : If the line, $y = mx + \frac{\sqrt{5}}{m} (m \neq 0)$is their common tangent, then m satisfies $m^4 - 3m^2 +2 = $

Question

( A ) Statement-I is True; Statement-II is true; Statement-II is a correct explanation for Statement-I
( B ) Statement-I is True; Statement-II is true; Statement-II is not a correct explanation for Statement-I
( C ) Statement-I is True; Statement-II is False
( D ) Statement-I is False,Statement-II is True