Expression 'T'

Q. The tangent and the normal lines at the point $(\sqrt{3},1)$ to the circle $x^2+y^2=4$ and the $x$-axis forms a triangle. The area of this triangle (in square units) is :

1. $\frac{1}{\sqrt{3}}$
2. $\frac{4}{\sqrt{3}}$
3. $\frac{2}{\sqrt{3}}$
4. $\frac{1}{3}$

Q. The tangent and the normal lines at the point $(\sqrt{3},1)$ to the circle $x^2+y^2=4$ and the $x$-axis forms a triangle. The area of this triangle (in square units) is :

1. $\frac{4}{\sqrt{3}}$
2. $\frac{1}{3}$
3. $\frac{1}{\sqrt{3}}$
4. $\frac{2}{\sqrt{3}}$

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

1. $4\sqrt{2}$
2. $4\sqrt{3}$
3. $3\sqrt{2}$
4. $3\sqrt{3}$