GATE IN 2012 Question Paper (12-Feb-2012) (Shift-2)

A system with transfer function

$G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$

is excited by $\sin (\omega t)$. The steady-state output of the system is zero at

The output $Y$ of a 2-bit comparator is logic 1 whenever the 2-bit input $A$ is greater than the 2-bit input $B$. The number of combinations for which the output is logic 1, is

In the sum of products function $f(X,Y,Z)=\sum (2,3,4,5)$, the prime implicants are

Consider the given circuit.



In this circuit, the race around

If $x[n]=(1/3{)}^{|n|}-(1/2{)}^{n}u[n]$, then the region of convergence (ROC) of its Z-transform in the Z-plane will be