Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 63 - 68 of 71

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Question 63

Engineering Mathematics
Higher Order Linear Differential Equations

Appeared in Year: 2020

Question

MCQ▾

The general solution of is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 64

Engineering Mathematics
Vector Operations

Appeared in Year: 2021

Question

Numeric Answer▾

If the vectors and in are linearly dependent the value of x is ________

Question 65

Engineering Mathematics
Higher Order Linear Differential Equations

Appeared in Year: 2021

Question

MCQ▾

Consider the differential equation given below.

The integrating factor of the differential equation is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 66

Engineering Mathematics
Combinatorial Probability
Edit

Appeared in Year: 2020

Question

Numeric Answer▾

The two sides of a fair coin are labelled as 0 and A. The coin is tossed two times independently. Let M and N denote the labels corresponding to the outcomes of those tosses. For a random variable X, defined as X = min (M, N) , the expected value E (X) (rounded off to two decimal places) is.

Question 67

Engineering Mathematics
First Order Equations

Appeared in Year: 2020

Question

MCQ▾

Which one of the following options contains two solutions of the differential equation ?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 68

Engineering Mathematics
Combinatorial Probability

Appeared in Year: 2021

Question

MCQ▾

A box contains the following three coins.

I. A fair coin with head on one face and tail on the other face.

II. A coin with heads on both the faces.

III. A coin with tails on both the faces.

A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one coin is then picked randomly and tossed. If the first toss results in a head the probability of getting a head in the second toss is

Choices

Choice (4)Response

a.

b.

c.

d.

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