1

GATE EE 2022

MCQ (Single Correct Answer)

+1

-0.33

Let $$f(x) = \int\limits_0^x {{e^t}(t - 1)(t - 2)dt} $$. Then f(x) decreases in the interval.

2

GATE EE 2022

MCQ (Single Correct Answer)

+1

-0.33

Consider a matrix $$A = \left[ {\matrix{
1 & 0 & 0 \cr
0 & 4 & { - 2} \cr
0 & 1 & 1 \cr
} } \right]$$. The matrix A satisfies the equation 6A^{$$-$$1} = A^{2} + cA + dI, where c and d are scalars and I is the identify matrix. Then (c + d) is equal to

3

GATE EE 2022

MCQ (Single Correct Answer)

+1

-0.33

Let $$f(x,y,z) = 4{x^2} + 7xy + 3x{z^2}$$. The direction in which the function f(x, y, z) increases most rapidly at point P = (1, 0, 2) is

4

GATE EE 2022

MCQ (Single Correct Answer)

+1

-0.33

Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region R?

Paper analysis

Total Questions

Analog Electronics

5

Control Systems

5

Digital Electronics

2

Electric Circuits

6

Electrical and Electronics Measurement

2

Electrical Machines

6

Electromagnetic Fields

3

Engineering Mathematics

8

Power Electronics

7

Power System Analysis

7

Signals and Systems

4

General Aptitude

10

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