1
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The parabolic are $$y = \sqrt x ,1 \le x \le 2$$ is revolved around the $$x$$-axis. The volume of the solid of revolution is
A
$${\pi \over 4}$$
B
$${\pi \over 2}$$
C
$${{3\pi } \over 4}$$
D
$${{3\pi } \over 2}$$
2
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The function $$y = \left| {2 - 3x} \right|$$
A
is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$
B
is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {3 \over 2}$$
C
is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {2 \over 3}$$
D
is continuous $$\forall x \in R$$ and except at $$x=3$$ and differentiable $$\forall x \in R$$
3
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The value of the integral $$\int\limits_{ - a}^a {{{dx} \over {1 + {x^2}}}} $$
A
$$-\pi $$
B
$${{ - \pi } \over 2}$$
C
$${{ \pi } \over 2}$$
D
$$\pi $$
4
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The distance between the origin and the point nearest to it on the surface $$\,\,{z^2} = 1 + xy\,\,$$ is
A
$$1$$
B
$${{\sqrt 3 } \over 2}$$
C
$${\sqrt 3 }$$
D
$$2$$
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Turbo Machinery
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