The rectangular hyperbola $xy=4^2$ does not intersect the parabola $y^2=4x$ in real point.

tatement-2: If hyperbola $\frac{x^2}{b^2}-\frac{y^2}{a^2}=1$ passes through the focus of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ then eccentricity of the hyperbola is  $\sqrt{3}$.

STATEMENT-1 is True, STATEMENT-2 is True; 
STATEMENT-2 is a correct explanation for STATEMENT-1

STATEMENT-1 is False, STATEMENT-2 is True

STATEMENT-1 is True, STATEMENT-2 is True; 
STATEMENT-2 is NOT a correct explanation for STATEMENT-1

STATEMENT-1 is True, STATEMENT-2 is False