GATE EC 2026 Set 1 Q29 — Circuit Analysis

In the given circuit, $L=1 \mu \mathrm{H}$ and $C=1 \mu \mathrm{~F}$. The phasor diagram for $I_{C}$ and $I_{L}$ is also shown. Assume that the phase $\left(\theta_{1}+\theta_{2}\right)$ is $90^{\circ}$ at a frequency of $159.15 ~\text{kHz}.$

Among the following options, what is the nearest integer value of $R_{C} \times R_{L}?$