GATE BT area:engineering-mathematics PYQs & Answers

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Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 88. Imported answers require independent review unless marked reviewed.

Topic practice 88 questionsPage 1 of 9

Consider the two functions

and

. Which of the following is the value of

Your answerChoose one option.

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Which of the following is one of the eigenvalues for the matrix given below?

Your answerChoose one option.

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Which of the following functions has the highest area under the curve between

and

Your answerChoose one option.

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The equation

has a solution of the form

. The value(s) of A satisfying this is/are:

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

-1

-∞

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The mean of the following series is _____. (rounded off to three decimal places)

0.01, 0.02, 0.03, ⋯ ⋯ ⋯, 1

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For the given matrix, which of the statements given below is/are true?

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

The matrix is full rank

The matrix is invertible

The matrix has a determinant

The matrix has a transpose

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Consider the equation

. The value of the integral

using trapezoidal method and interval

is ________. (rounded off to two decimal places)

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If the straight lines given by the following two equations are parallel to each other, the value of a is _____. (answer in integer)

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A straight line

intersects a circle with center at

and radius of magnitude 1 at two points. The length of the chord formed by this intersection is ______. (rounded off to three decimal places)

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A heat exchanger during operation in a bioprocess has a steady temperature of 90 °C. After completion of its operation, it was shut down and it was observed that the rate of decrease of temperature at any time was directly proportional to the difference

°C, where

denotes temperature at time

. It was observed that it took 30 min for the temperature to drop to 70 °C. The temperature after 51.5 min will be ________ °C. (rounded off to the nearest integer)

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GATE BT area:engineering-mathematics PYQs

How to practice area:engineering-mathematics

Question 11

Question 12

Question 13

Question 27

Question 31

Question 41

Question 51

Question 52

Question 53

Question 54