GATE Exam Questions - Engineering

Q1:

Two flow patterns are represented by their stream functions ψ1 and ψ2 as given below:
ψ1 = x2 + y2, ψ2 = 2xy
If these two patterns are superimposed on one another, the resulting streamline pattern can be represented by one of the following :

A A family of parallel straight lines

B A family of circles

C A family of parabolas

D A family of hyperbolas

ANS:B - A family of circles

Given equation is of circle r^2=x^2+y^2. so the answer is circle.