GATE EE 2013 | GATE EE Year Wise Previous Years Questions

GATE EE 2013

MCQ (Single Correct Answer)

-0.3

The flux density at a point in space is given by $$\overrightarrow B=\;4x{\widehat a}_x\;+\;2ky{\widehat a}_y\;+\;8{\widehat a}_z\;\;Wb/m^2$$. The value of constant k must be equal to

-2

-0.5

+0.5

GATE EE 2013

MCQ (Single Correct Answer)

-0.3

Square roots of $$-i,$$ where $$i = \sqrt { - 1} $$ are

$$i, -i$$

$$\eqalign{ & \cos \left( { - {\pi \over 4}} \right) + \sin \left( { - {\pi \over 4}} \right), \cr & \cos \left( {{{3\pi } \over 4}} \right) + i\,\sin \left( {{{3\pi } \over 4}} \right) \cr} $$

$$\eqalign{ & \cos \left( {{\pi \over 4}} \right) + i\sin \left( {{{3\pi } \over 4}} \right), \cr & \cos \left( {{{3\pi } \over 4}} \right) + i\sin \left( {{\pi \over 4}} \right) \cr} $$

$$\eqalign{ & \cos \left( {{{3\pi } \over 4}} \right) + i\sin \left( { - {{3\pi } \over 4}} \right), \cr & \cos \left( { - {{3\pi } \over 4}} \right) + i\sin \left( {{{3\pi } \over 4}} \right) \cr} $$

GATE EE 2013

MCQ (Single Correct Answer)

-0.6

$$\oint {{{{z^2} - 4} \over {{z^2} + 4}}} dz\,\,$$ evaluated anticlockwise around the circular $$\left| {z - i} \right| = 2,$$ where $$i = \sqrt { - 1} $$, is

$$ - 4\pi $$

$$0$$

$$2 + \pi $$

$$2+2$$

GATE EE 2013

MCQ (Single Correct Answer)

-0.6

The equation $$\left[ {\matrix{ 2 & { - 2} \cr 1 & { - 1} \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] = \left[ {\matrix{ 0 \cr 0 \cr } } \right]$$ has

no solution

only one solution

non-zero unique solution

multiple solutions

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