Given : A circle, $2x^2 + 2y^2 = 5$ and a parabola $y^2=4\sqrt{5}x$

Statement-1: An equation of a common tangent to these curves is $y=x+\sqrt{5}$

Statement-2: If the line $y=mx+\frac{\sqrt{5}}{m}(m\ne 0)$ is their common tangent, then $m$ satisfies $m^4-3m^2+2=0$

Statement-1 is false, Statement-2 is true, 

Statement-1 is true, Statement-2 is true,
Staternent-2 is a correct explanation for Statement-1.

Statement-1 is true, Statement-2 is false

Statement-1 is true, 'Staternent-2 is true,
Statement-2 is not a correct explanation for Statement-1.