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 kHz . Among the following options, what is the nearest integer value of $R_C \times R_L$ ?

Consider the two-port network as shown in the Figure.

Which of the following options provides the correct set of values of $A, B, C$ and $D$ parameters?

The Laplace Transform of the signal $x(t)=u(t-2) *(t u(t))$ is given by which of the following expressions?

["*" represents convolution operator]

Two analog signals $x_1(t)$ and $x_2(t)$ ( $t$ in second), are sampled at a rate $F_s=40 \mathrm{~Hz}$, where $x_1(t)=\cos (20 \pi t), t \geq 0$, and $x_2(t)=\cos (100 \pi t), t \geq 0$.

The first ten samples (starting from $t=0$ ) are considered for the analysis.

Which of the following statements is TRUE?