1
GATE ME 2010
+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
+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
+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
+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
$$2$$
GATE ME Subjects
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Turbo Machinery
Heat Transfer
Thermodynamics
Production Engineering
Industrial Engineering
General Aptitude
EXAM MAP
Joint Entrance Examination