GATE EC 2018 Question Paper (10-Feb-2018) (Shift 1)

Consider $p_s=s^3+a_2{s}^2+a_{1}s+a_0$ with all real coefficients. It is known that its derivative p'(s) has no real roots. The number of real roots of p(𝑠) is:

In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE?

The logic function f(X,Y) realized by the given circuit is

A function (A, B, C) defined by three boolean variables A, B, and C when expressed as the sum of products is given by:

F = A̅.B̅.C̅ + A̅.B.C̅ + A.B̅.C̅

where, A̅, B̅, and C̅ are the complements of the respective variables. The product of sums (POS) form of the function F is

The points P, Q, and R shown on the Smith chart (normalized impedance chart) in the following figure represent: