GATE EE 2024 Question Paper (11-Feb-2024) (Shift-2)

To obtain the Boolean function $F(X,Y)=X\bar{Y}+\bar{X}$, the inputs PQRS in the figure should be

If the following switching devices have similar power ratings, which one of them is the fastest?

A single-phase triac based AC voltage controller feeds a series RL load. The input AC supply is 230 V, 50 Hz. The values of R and L are 10 $\Omega$ and 18.37 mH, respectively. The minimum triggering angle of the triac to obtain controllable output voltage is

Let X be a discrete random variable that is uniformly distributed over the set $\{-10,-9,\dots ,0,\dots ,9,10\}$. Which of the following random variables is/are uniformly distributed?

Which of the following complex functions is/are analytic on the complex plane?