1
GATE EE 2016 Set 2
+1
-0.3
The direction of rotation of a single-phase capacitor run induction motor is reversed by
A
interchanging the terminals of the AC supply.
B
interchanging the terminals of the capacitor.
C
interchanging the terminals of the auxiliary winding.
D
interchanging the terminals of both the windings.
2
GATE EE 2016 Set 2
+1
-0.3
$$A$$ $$3 \times 3$$ matrix $$P$$ is such that , $${p^3} = P.$$ Then the eigen values of $$P$$ are
A
$$1,1,-1$$
B
$$1,0.5+j0.866,0.5-j0.866$$
C
$$1,-0.5+j0.866,-05-j0.866$$
D
$$0,1,-1$$
3
GATE EE 2016 Set 2
+2
-0.6
Let $$P = \left[ {\matrix{ 3 & 1 \cr 1 & 3 \cr } } \right].$$ Consider the set $$S$$ of all vectors $$\left( {\matrix{ x \cr y \cr } } \right)$$ such that $${a^2} + {b^2} = 1$$ where $$\left( {\matrix{ a \cr b \cr } } \right) = P\left( {\matrix{ x \cr y \cr } } \right).$$ Then $$S$$ is
A
a circle of radius $$\sqrt {10}$$
B
a circle of radius $${1 \over {\sqrt {10} }}$$
C
an ellipse with major axis along $$\left( {\matrix{ 1 \cr 1 \cr } } \right)$$
D
an ellipse with minor axis along $$\left( {\matrix{ 1 \cr 1 \cr } } \right)$$
4
GATE EE 2016 Set 2
+2
-0.6
The value of the integral $$\,\,2\int_{ - \infty }^\infty {\left( {{{\sin \,2\pi t} \over {\pi t}}} \right)} dt\,\,$$ is equal to
A
$$0$$
B
$$0.5$$
C
$$1$$
D
$$2$$
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