Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 6 of 71

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Question 1

Engineering Mathematics
Combinatorial Probability

Appeared in Year: 2010

Question

MCQ▾

A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tail shown up” (2 marks)

Choices

Choice (4)Response

a.

b.

c.

d.

Question 2

Engineering Mathematics
Maxima and Minima

Appeared in Year: 2010

Question

MCQ▾

If then y has a (2 marks)

Choices

Choice (4)Response

a.

minimum at

b.

minimum at

c.

maximum at

d.

maximum at

Question 3

Engineering Mathematics
First Order Equations

Appeared in Year: 2010

Question

MCQ▾

A function n (x) satisfied the differential equation Where L is constant. The boundary conditions are: and . The solution to this equation is

Choices

Choice (4)Response

a.

b.

)

c.

)

d.

)

Question 4

Engineering Mathematics
Multiple Integrals, Line, Surface and Volume Integrals

Appeared in Year: 2010

Question

MCQ▾

If , then over the path shown in the figure is

A Closed Path in XY Plane

Choices

Choice (4)Response

a.

0

b.

c.

1

d.

Question 5

Engineering Mathematics
Analytic Functions

Appeared in Year: 2019

Question

MCQ▾

Which one of the following functions is analytic over the entire complex plane?

(Carry One Mark Each)

Choices

Choice (4)Response

a.

b.

c.

d.

Question 6

Engineering Mathematics
First Order Equations

Appeared in Year: 2019

Question

MCQ▾

Consider a differentiable function f (x) on the set of real numbers such that f (-1) = 0 and . Given these conditions, which one of the following inequalities is necessarily true for all ? (Carry One Mark Each)

Choices

Choice (4)Response

a.

b.

c.

d.

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