isi-entrance 2024 Q27

isi-entrance · India · UGA Circles Area and Geometric Measurement Involving Circles
In the adjoining figure, $C$ is the centre of the circle drawn, $A, F, E$ lie on the circle and $BCDF$ is a rectangle. If $\frac{DE}{AB} = 2$, then $\frac{FE}{FA}$ equals
(A) $\sqrt{\frac{3}{2}}$
(B) $\sqrt{2}$
(C) $\sqrt{\frac{5}{2}}$
(D) $\sqrt{3}$
In the adjoining figure, $C$ is the centre of the circle drawn, $A, F, E$ lie on the circle and $BCDF$ is a rectangle. If $\frac{DE}{AB} = 2$, then $\frac{FE}{FA}$ equals\\
(A) $\sqrt{\frac{3}{2}}$\\
(B) $\sqrt{2}$\\
(C) $\sqrt{\frac{5}{2}}$\\
(D) $\sqrt{3}$