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# GATE 2021 : Engineering Mathematics Rapid Quiz 1 (App update required to attempt this test)

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Question 1

M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M

^{2}areQuestion 2

Given two functions

Find the convolution z(t) of x(t) and y(t)

Find the convolution z(t) of x(t) and y(t)

Question 3

Which of the following option is correct for moment generating function for Normal distribution function defined as ?

Question 4

The vector function represented by F = a

_{x}(5y – k_{1}z) + a_{y}(3z + k_{2}x) + a_{z}(k_{3}y – 4x) represents a conservative field, where a_{x}, a_{y}& a_{z}represents unit vectors along the x, y, & z-axis respectively. Find the values of k_{1}, k_{2}& k_{3}= ?Question 5

A pair of dice is thrown twice, then find the probability of scoring 6 (sum of two dice) at least once.

Question 6

Given two complex numbers, z

_{1}= 5 + (5√3)i and z_{2}= 6 + (2√3)i, then argument of (in degrees) is- 561 attempts
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Dec 19ESE & GATE EC

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