Given : A circle,$2x^2+2y^2=5$ and an 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+ \large\frac{\sqrt 5}{m} $$(m \neq 0)$ is their common tangent, then ‘m’ satisfies $m^4- 3m^2+2=0$

Question

$\begin{array}{1 1} (1) \text{(1) Statement−I is true; Statement−II is true; Statement − II is a correct explanation for Statement − I. } \\ (2)\text{ Statement−I is true; Statement−II is true; Statement − II is not a correct explanation for Statement − I.} \\ (3) \text{Statement−I is true; Statement−II is false.} \\ (4)\text{ Statement−I is false; Statement−II is true. } \end {array}$