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GATE 2023 Engg. Mathematics Quiz 7

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Question 1

The Real part of where z = x + iy is

Question 2

Eigen values of a 3 x 3 matrix are 2,4 and 7 respectively. What will be the coefficient of 2nd degree variable in its characteristic equation___________?

Question 3

Given , what will be the evaluation of the definite integral

Question 4

Find the difference between two eigen values of matrix ________.

Question 5

Find the Integral Factor of x2y' +2xy = log x2

Question 6

A solution of the ordinary differential equation is such that y(0) = 2 and

y(1)=- (1-3e)/e3 .The value of is _______.

Question 7

Evaluate over the area between y2 = x and y = x _____.

Question 8

Calculate the value of ,where C is |z| = 1 is
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Jun 19ESE & GATE EC