Question 30
The figure shows two circles with centres $A,B$ and a line $L$ tangent to the circles at $X,Y$. Suppose $XY=40$ cm, $AB=41$ cm and the area of quadrilateral $ABYX$ is $300\text{ cm}^2$. If $a,b$ denote the areas of the circles with centres $A,B$, respectively, find $b/a$.
