1
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
In a sand casting process, a sphere and a cylinder of equal volumes are separately cast from the same molten metal under identical conditions. The height and diameter of the cylinder are equal. The ratio of the solidification time of the sphere to that of the cylinder is
A
$$1.14$$
B
$$0.87$$
C
$$1.31$$
D
$$0.76$$
2
GATE PI 2011
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the following matrix $$\left[ {\matrix{ {10} & { - 4} \cr {18} & { - 12} \cr } } \right]$$ are
A
$$4,9$$
B
$$6,-8$$
C
$$4,8$$
D
$$-6,8$$
3
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
If a matrix $$A = \left[ {\matrix{ 2 & 4 \cr 1 & 3 \cr } } \right]$$ and matrix $$B = \left[ {\matrix{ 4 & 6 \cr 5 & 9 \cr } } \right]$$ the transpose of product of these two matrices i.e., $${\left( {AB} \right)^T}$$ is equal to
A
$$\left[ {\matrix{ {28} & {19} \cr {34} & {47} \cr } } \right]$$
B
$$\left[ {\matrix{ {19} & {34} \cr {47} & {28} \cr } } \right]$$
C
$$\left[ {\matrix{ {48} & {33} \cr {28} & {19} \cr } } \right]$$
D
$$\left[ {\matrix{ {28} & {19} \cr {48} & {33} \cr } } \right]$$
4
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
The line integral $$\int\limits_{{P_1}}^{{P_2}} {\left( {ydx + xdy} \right)} $$ from $${P_1}\left( {{x_1},{y_1}} \right)$$ to $${P_2}\left( {{x_2},{y_2}} \right)$$ along the semi-circle $${P_1}$$ $${P_2}$$ shown in the figure is GATE PI 2011 Engineering Mathematics - Vector Calculus Question 4 English
A
$${x_2}{y_2} - {x_1}{y_1}$$
B
$$\left( {y_2^2 - y_1^2} \right) + \left( {x_2^2 - x_1^2} \right)$$
C
$$\left( {{x_2} - {x_1}} \right)\left( {{y_2} - {y_1}} \right)$$
D
$${\left( {{y_2} - {y_1}} \right)^2} + {\left( {{x_2} - {x_1}} \right)^2}$$
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