Two tangents to the circle $x^{2}+y^{2}=4$ at the points $A$ and $B$ meet at $M(-4,0)$. The area of the quadrilateral $M A O B$, where $\mathrm{O}$ is the origin is

Two tangents to the circle

$x^{2}+y^{2}=4$ at the points

$A$ and

$B$ meet at

$M(-4,0)$ . The area of the quadrilateral

$M A O B$ , where

$\mathrm{O}$ is the origin is
(A)

$4 \sqrt{3}$ sq. units
(B)

$2 \sqrt{3}$ sq. units
(C)

$\sqrt{3}$ squnits
(D)

$3 \sqrt{3}$ sq. units

Ans: (A)

1 Answer

Two tangents to the circle $x^{2}+y^{2}=4$ at the points $A$ and $B$ meet at $M(-4,0)$ . The area of the quadrilateral $M A O B$ , where $\mathrm{O}$ is the origin is