1
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0

Choose the correct statement :

A
$$x+\sin 2 x$$ is a periodic function
B
$$x+\sin 2 x$$ is not a periodic function
C
$$\cos (\sqrt{x}+1)$$ is a periodic function
D
$$\cos (\sqrt{x}+1)$$ is not a periodic function
2
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0

Let $$f(x) = {x^2} + x\sin x - \cos x$$. Then

A
f(x) = 0 has at least one real root
B
f(x) = 0 has no real root
C
f(x) = 0 has at least one positive root
D
f(x) = 0 has at least one negative root
3
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0

Let p(x) be a polynomial with real co-efficient, p(0) = 1 and p'(x) > 0 for all x $$\in$$ R. Then

A
p(x) has at least two real roots
B
p(x) has only one positive real root
C
p(x) may have negative real root
D
p(x) has infinitely many real roots
4
WB JEE 2021
MCQ (More than One Correct Answer)
+2
-0
Let f and g be periodic functions with the periods T1 and T2 respectively. Then f + g is
A
periodic with period T1 + T2
B
non periodic
C
periodic with the period T1
D
periodic when T1 = T2
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