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

The equation ex + x $$-$$ 1 = 0 has, apart from x = 0

A
One other real root
B
Two real roots
C
No other real root
D
Infinite number of real roots
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The function $$f(x) = {e^{ax}} + {e^{ - ax}},a > 0$$ is monotonically increasing for

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

The area enclosed by y = 3x $$-$$ 5, y = 0, x = 3 and x = 5 is

A
12 sq. units
B
13 sq. units
C
13$${1 \over 2}$$ sq. units
D
14 sq. units
4
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The area bounded by the parabolas y = 4x2, $$y = {{{x^2}} \over 9}$$ and the line y = 2 is

A
$${{5\sqrt 2 } \over 3}$$ sq. units
B
$${{10\sqrt 2 } \over 3}$$ sq. units
C
$${{15\sqrt 2 } \over 3}$$ sq. units
D
$${{20\sqrt 2 } \over 3}$$ sq. units
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