Question 32
In the figure below, $A,B,C$ and $D$ are points on the circle such that the straight lines $AB$ and $CD$ intersect at $E$. Let $[BCE]$ and $[ADE]$ denote the areas of the triangles $\triangle BCE$ and $\triangle ADE$ respectively. If $\dfrac{[BCE]}{[ADE]}=25$ and $AE=1$ cm, find the length of the line $CE$ in cm.
