1
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

A function y(x) is defined in the interval [0, 1] on the x-axis as

$$y(x) = \left\{ \matrix{ 2\,if\,0 \le x < {1 \over 3} \hfill \cr 3\,if\,{1 \over 3} \le x < {3 \over 4} \hfill \cr 1\,if\,{3 \over 4} \le x < 1 \hfill \cr} \right.$$

Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

A
$${5 \over 6}$$
B
$${6 \over 5}$$
C
$${{13} \over 6}$$
D
$${6 \over {13}}$$
2
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

Let r be a root of the equation x2 + 2x + 6 = 0. Then the value of the expression (r + 2) (r + 3) (r + 4) (r + 5) is

A
51
B
$$-$$ 51
C
126
D
$$-$$ 126
3
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33
If $${\left( {x - {1 \over 2}} \right)^2} - {\left( {x - {3 \over 2}} \right)^2} = x + 2$$, then the value of x is :
A
2
B
8
C
4
D
6
4
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33
If $$\theta$$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then cos $$\theta$$ = _______
A
$${1 \over {\sqrt 3 }}$$
B
$${1 \over 2}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${{\sqrt 3 } \over 2}$$
GATE CSE Subjects
Software Engineering
Web Technologies
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