GATE MT area:engineering-mathematics PYQs & Answers — Page 6

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Questions 51–60 of 87. Imported answers require independent review unless marked reviewed.

Topic practice 87 questionsPage 6 of 9

The minimum value of

for the equation

is ______.

Your answerChoose one option.

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Consider the function f(x) = x − cos x. Using Newton-Raphson method, the estimated root of f(x) after the first iteration is: ______ (round off to 3 decimal places). Assume: Initial guess of the root = 0.5 radians.

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The work done by a force

along a straight line from point (0, 0) to (1, 2) is: ________ (round off to nearest integer).

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A coin is tossed three times. Given that there are more heads than tails, the probability of getting exactly one tail is: __________ (round off to 2 decimal places).

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The general solution to the following homogeneous ODE,

is,

The values of

and

are:

Your answerChoose one option.

-1 and -3

-3 and -3

1 and -3

1 and 3

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Given the three vectors

and

, which one of the following statements is TRUE?

Your answerChoose one option.

and

are mutually perpendicular.

and

are coplanar.

makes an angle of 30° with the normal to the plane containing

and

makes an angle of 60° with the normal to the plane containing

and

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For the function

, the derivative

is:

Your answerChoose one option.

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The functions

and

intersect at the point:

Your answerChoose one option.

(1, 3)

(-2, 2)

(0, 1)

(-1, -1)

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For the function

given in the figure, the value of

is _____ (round off to one decimal place).

Diagram for Metallurgical Engineering question 21

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The divergence of the vector field

is:

Your answerChoose one option.

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GATE MT area:engineering-mathematics PYQs

Question 26

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Question 39

Question 1

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Question 21

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