1
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
Change Language
Let f : [$$-$$3, 1] $$ \to $$ R be given as

$$f(x) = \left\{ \matrix{ \min \,\{ (x + 6),{x^2}\}, - 3 \le x \le 0 \hfill \cr \max \,\{ \sqrt x ,{x^2}\} ,\,0 \le x \le 1. \hfill \cr} \right.$$

If the area bounded by y = f(x) and x-axis is A, then the value of 6A is equal to ___________.
Your input ____
2
JEE Main 2021 (Online) 17th March Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A sound wave of frequency 245 Hz travels with the speed of 300 ms$$-$$1 along the positive x-axis. Each point of the wave moves to and from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?
A
Y(x, t) = 0.03 [ sin 5.1x $$-$$ (0.2 $$\times$$ 103)t ]
B
Y(x, t) = 0.03 [ sin 5.1x $$-$$ (1.5 $$\times$$ 103)t ]
C
Y(x, t) = 0.06 [ sin 5.1x $$-$$ (1.5 $$\times$$ 103)t ]
D
Y(x, t) = 0.06 [ sin 0.8x $$-$$ (0.5 $$\times$$ 103)t ]
3
JEE Main 2021 (Online) 17th March Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Which one of the following will be the output of the given circuit?

JEE Main 2021 (Online) 17th March Evening Shift Physics - Semiconductor Question 92 English
A
XOR Gate
B
NOR Gate
C
NAND Gate
D
AND Gate
4
JEE Main 2021 (Online) 17th March Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A carrier signal C(t) = 25 sin(2.512 $$\times$$ 1010t) is amplitude modulated by a message signal m(t) = 5 sin(1.57 $$\times$$ 108t) and transmitted through an antenna. What will be the bandwidth of the modulated signal?
A
50 MHz
B
8 GHz
C
1987.5 MHz
D
2.01 GHz
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