Mathematics

Problem

Tangents are drawn to

x^2 + y^2 = 16

from the point

P(0, h)

. These tangents meet the x-axis at

A

and

B

. If the area of triangle

PAB

is minimum, then (a)

h = 12\sqrt{2}

(b)

h = 6\sqrt{2}

(c)

h = 8\sqrt{2}

(d)

h = 4\sqrt{2}