Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The domain of the function $$f(x) = \sqrt {{{\cos }^{ - 1}}\left( {{{1 - |x|} \over 2}} \right)} $$ is

A
($$-$$3, 3)
B
[$$-$$3, 3]
C
($$-$$ $$\infty$$, $$-$$3) $$\cup$$ (3, $$\infty$$)
D
($$-$$ $$\infty$$, $$-$$3] $$\cup$$ [3, $$\infty$$)
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

For what values of x, the function $$f(x) = {x^4} - 4{x^3} + 4{x^2} + 40$$ is monotone decreasing?

A
0 < x < 1
B
1 < x < 2
C
2 < x < 3
D
4 < x < 5
3
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The minimum value of $$f(x) = {e^{({x^4} - {x^3} + {x^2})}}$$ is

A
e
B
$$-$$ e
C
1
D
$$-$$ 1
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The period of the function f(x) = cos 4x + tan 3x is

A
$$\pi$$
B
$${\pi \over 2}$$
C
$${\pi \over 3}$$
D
$${\pi \over 4}$$
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