1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
$$\cos (2x + 7) = a(2 - \sin x)$$ can have a real solution for
A
all real values of a
B
$$a \in [2,6]$$
C
$$a \in ( - \infty ,2)\backslash \{ 0\} $$
D
$$a \in (0,\infty )$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let f(x) = sin x + cos ax be periodic function. Then,
A
a is any real number
B
a is any irrational number
C
a is rational number
D
a = 0
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $${e^{\sin x}} - {e^{-\sin x}} - 4 = 0$$, then the number of real values of x is
A
0
B
1
C
2
D
3
4
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The graphs of the polynomial x2 $$-$$ 1 and cos x intersect
A
at exactly two points
B
at exactly 3 points
C
at least 4 but at finitely many points
D
at infinitely many points
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Class 12