Time Left - 15:00 mins

Gate 2021: Engineering Mathematics Quiz 14

Attempt now to get your rank among 336 students!

Question 1

Let z be a complex variable. For a counter-clockwise integration around a unit circle C, centred at origin,

the value of A is

Question 2

For the function

of a complex variable z the point z = 0 is

Question 3

For an analytic function f(x +iy) =u(x,y) +iv(x,y), u is given by u = 3x² -3y². The expression for v, considering K to be a constant is?

Question 4

Find the solution for multiplication of two complex no. of the form a+ib and c+id. Take a = 2, b = 3, c = 4 and d = 5.

Question 5

If the conjugate of a complex number is

then that complex number is

Question 6

If z is a complex number with modulus 1, such that

is not –1, then

is
[Assume n is a positive integer]

Tags :

Jun 25ESE & GATE CE