1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The range of the function $$f(x) = {\log _e}\sqrt {4 - {x^2}} $$ is given by

A
(0, $$\infty$$)
B
($$-$$ $$\infty$$, $$\infty$$)
C
($$-$$ $$\infty$$, loge2)
D
( loge2, $$\infty$$)
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The function $$f(x) = \log \left( {{{1 + x} \over {1 - x}}} \right)$$ satisfies the equation

A
$$f(x + 2) - 2f(x + 1) + f(x) = 0$$
B
$$f(x) + f(x + 1) = f(x(x + 1))$$
C
$$f(x) + f(y) = f\left( {{{x + y} \over {1 + xy}}} \right)$$
D
$$f(x + y) = f(x)f(y)$$
3
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
4
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
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12