1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Two aeroplanes $${\rm I}$$ and $${\rm I}$$$${\rm I}$$ bomb a target in succession. The probabilities of $${\rm I}$$ and $${\rm I}$$$${\rm I}$$ scoring a hit correctly are $$0.3$$ and $$0.2,$$ respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is :
A
$$0.2$$
B
$$0.7$$
C
$$0.06$$
D
0.32
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The area enclosed between the curves $${y^2} = x$$ and $$y = \left| x \right|$$ is :
A
$$1/6$$
B
$$1/3$$
C
$$2/3$$
D
$$1$$
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Let $$I = \int\limits_0^1 {{{\sin x} \over {\sqrt x }}dx} $$ and $$J = \int\limits_0^1 {{{\cos x} \over {\sqrt x }}dx} .$$ Then which one of the following is true?
A
$$1 > {2 \over 3}$$ and $$J > 2$$
B
$$1 < {2 \over 3}$$ and $$J < 2$$
C
$$1 < {2 \over 3}$$ and $$J > 2$$
D
$$1 > {2 \over 3}$$ and $$J < 2$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The solution for $$x$$ of the equation $$\int\limits_{\sqrt 2 }^x {{{dt} \over {t\sqrt {{t^2} - 1} }} = {\pi \over 2}} $$ is
A
$${{\sqrt 3 } \over 2}$$
B
$$2\sqrt 2 $$
C
$$2$$
D
None
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