Mathematics

Problem

The tangent and the normal lines at the point

(\sqrt{3}, 1)

to the circle

x^2 + y^2 = 4

and the

x

-axis form a triangle. The area of this triangle (in square units) is : (a)

\frac{4}{\sqrt{3}}

(b)

\frac{1}{3}

(c)

\frac{2}{\sqrt{3}}

(d)

\frac{1}{\sqrt{3}}