Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 5

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Question 1

The value of x for which all the eigen – value of the matrix given below are real is

• A5 + j
• B5 – j
• C1 – 5j
• D1 + 5j

Question 2

The variance of the random variable X with probability density function is ___________.

• A6
• B12
• C5
• D15

Question 3

Let x denote a real number. Find out the INCORRECT statement.

• AS = {x : x > 3} represents the set of all real numbers greater than 3
• BS = {x : x² < 0} represents the empty set
• CS = {x : x ∈ A and x ∈ B} represents the union of set A and set B
• DS = {x : a < x < b} represents the set of all real numbers between a and b, where a and b are real numbers.

Question 4

With initial condition x(1) = 0.5, the solution of the differential equation,   is

• A
• B
• C
• D

Question 5

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

• A1/3
• B3/4
• C7/19
• D8/21

Question 6

For a function g(t), it is the given that for any real value ω. If and is

• A0
• B– j
• C
• D

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