1
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The blasius equation $$\,{{{d^3}f} \over {d{\eta ^3}}} + {f \over 2}\,{{{d^2}f} \over {d{\eta ^2}}} = 0\,\,\,\,$$ is a
A
2nd order non-linear ordinary differential equation
B
3rd order non-linear ordinary differential equation
C
3rd order linear ordinary differential equation
D
mixed order non-linear ordinary differential equation
2
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
One of the eigen vector of the matrix $$A = \left[ {\matrix{ 2 & 2 \cr 1 & 3 \cr } } \right]$$ is
A
$$\left[ {\matrix{ 2 \cr { - 1} \cr } } \right]$$
B
$$\left[ {\matrix{ 2 \cr 1 \cr } } \right]$$
C
$$\left[ {\matrix{ 4 \cr 1 \cr } } \right]$$
D
$$\left[ {\matrix{ 1 \cr { - 1} \cr } } \right]$$
3
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
$${{3\pi } \over 2}$$
4
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 $$\forall x \in R$$
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