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

The line which is parallel to x-axis and crosses the curve y = $$\sqrt x$$ at an angle 45$$^\circ$$ is

A
y = $${1 \over 4}$$
B
y = $${1 \over 2}$$
C
y = 1
D
y = 4
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The area included between the parabolas y2 = 4x and x2 = 4y is

A
$${8 \over 3}$$ sq. units
B
8 sq. units
C
$${16 \over 3}$$ sq. units
D
12 sq. units
3
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

Select the correct statement from (a), (b), (c), (d). The function $$f(x) = x{e^{1 - x}}$$

A
strictly increases in the interval (1/2, 2)
B
increases in the interval (0, $$\infty$$)
C
decreases in the interval (0, 2)
D
strictly decreases in the interval (1, $$\infty$$)
4
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
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