tmua.me Extreme Set B Paper 1 · Question 4

The circles $\mathcal C_1$ and $\mathcal C_2$ have equations

\mathcal C_1:\ x^2+y^2=4, \qquad \mathcal C_2:\ (x-3)^2+y^2=7.

They intersect at $A$ and $B$ , with $A$ above $B$ . The tangent to $\mathcal C_1$ at $A$ meets $\mathcal C_2$ again at $C$ , and the tangent to $\mathcal C_1$ at $B$ meets $\mathcal C_2$ again at $D$ .

What is the area of quadrilateral $ABCD$ ?

\dfrac{9\sqrt3}{4}

3\sqrt3

\dfrac{27\sqrt3}{4}

\dfrac{9\sqrt3}{2}

9\sqrt3

\dfrac{27\sqrt3}{2}

examday

tmua.me Extreme Set B Paper 1 · Q4