GATE XE exam:gate PYQs & Answers — Page 22

Questions 211–220 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 22 of 178

Suppose the polynomial

interpolates the data

and

. Then which one of the following statements is correct?

Your answerChoose one option.

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Let

be the positively oriented boundary of the domain bounded by the curves

and

. Then the value of the line integral

is equal to

Your answerChoose one option.

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Let

be the solution of the initial value problem,

Then the value of

is equal to (Answer in integer)

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Suppose that 2 is an eigenvalue of the matrix

Then the value of

is equal to (Answer in integer)

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Let

be an analytic function such that

where

. Then the value of

is equal to

Your answerChoose one option.

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Consider the function

Then which one of the following statements is correct?

Your answerChoose one option.

is a point of local maxima of

is a point of local minima of

is a point of local maxima of

is a saddle point of

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For

, consider the system of linear equations

If the system has infinitely many solutions, then which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

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Let

be the solution of the initial boundary value problem

Then the value of

is equal to (rounded off to two decimal places)

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Fluid at a constant flow rate passes through a long, straight, cylindrical pipe that has an axisymmetric convergent section at the end. Which one of the following options correctly represents the velocity field in the converging section in cylindrical

coordinates?

Your answerChoose one option.

Two-dimensional function of

and

One-dimensional function of

Two-dimensional function of

and

One-dimensional function of

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A sharp flat plate of length

and infinite width is immersed parallel to a fluid stream having velocity

. At a point on the plate, far away from the leading edge and not near the trailing edge, the boundary layer thickness, the displacement thickness, and the momentum thickness are denoted as

, and

, respectively. Which one of the following options correctly represents the relation between these thicknesses?

Your answerChoose one option.

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GATE XE exam:gate PYQs

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23