(a) To form circularly polarized light
$E_{x} = A\sin{\omega t}$
$E_{y} = A\cos{\omega t}$
Resultant amplitude
$\left| \overrightarrow{E} \right|^{2} = A^{2} + A^{2} + 2A.A\cos\frac{\pi}{2} \Rightarrow \left| \overrightarrow{E} \right| = A\sqrt{2}$
= constant