All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true?

The Zener diode in circuit has a breakdown voltage of 5 V. The current gain $$\beta$$ of the transistor in the active region in 99. Ignore base-emitter voltage drop $$V_{BE}$$. The current through the 20 $$\Omega$$ resistance in milliamperes is ___________ (Round off to 2 decimal places).

For the block diagram shown in the figure, the transfer function $${{Y(s)} \over {R(s)}}$$ is

In the Nyquist plot of the open-loop transfer function

$$G(s)H(s) = {{3s + 5} \over {s - 1}}$$

corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at