Time Left - 20:00 mins

GATE 2023 Engg. Mathematics Quiz 1

Attempt now to get your rank among 114 students!

Question 1

The value of is equal to

Question 2

Find the value

Question 3

Let f(z) = (x2 + y2) + i 2xy and g(z) = 2xy + i(y2 - x2) for z=x+ iy. where i= .Then in the complex plane C.

Question 4

The general solution of the differential equation ex tany dx + (1 – ex) sec2 y dy = 0 is

Question 5

If A is 3 × 3 matrix and trace A = 9, |A| = 24 and one of the eigen value is 3, then sum of other eigen values is _______.

Question 6

The smallest positive integers n for which

Question 7

One of the eigen vector of matrix     is

Question 8

If

Then sum of Eigen value of

  • 114 attempts
  • 0 upvotes
  • 0 comments
Apr 24ESE & GATE EC