Let the tangents drawn to the circle, $x^2+y^2 = 16$ from the point $P(0,h)$ meet the $x$-axis at point A and B. If the area of $\Delta APB$ is minimum, then $h$ is equal to :

Question

( A ) $4\sqrt{2}$
( B ) $3\sqrt{3}$
( C ) $3\sqrt{2}$
( D ) $4\sqrt{3}$