1
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 $$\forall x \in R$$
2
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
$$\pi$$
3
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
$$2$$
4
GATE ME 2009
+1
-0.3
The area enclosed between the curves $${y^2} = 4x\,\,$$ and $${{x^2} = 4y}$$ is
A
$${{16} \over 3}$$
B
$$8$$
C
$${{32} \over 3}$$
D
$$16$$
GATE ME Subjects
EXAM MAP
Medical
NEET