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Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Differential Equations
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Calculus
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Probability and Statistics
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Numerical Methods
Marks 1Marks 2
Vector Calculus
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Transform Theory
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Complex Variable
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1
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
All the values of the multi valued complex function $${1^i},$$ where $$i = \sqrt { - 1} $$ are
A
purely imaginary
B
real and non negative
C
on the unit circle
D
equal in real and imaginary parts.
2
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
Square roots of $$-i,$$ where $$i = \sqrt { - 1} $$ are
A
$$i, -i$$
B
$$\eqalign{ & \cos \left( { - {\pi \over 4}} \right) + \sin \left( { - {\pi \over 4}} \right), \cr & \cos \left( {{{3\pi } \over 4}} \right) + i\,\sin \left( {{{3\pi } \over 4}} \right) \cr} $$
C
$$\eqalign{ & \cos \left( {{\pi \over 4}} \right) + i\sin \left( {{{3\pi } \over 4}} \right), \cr & \cos \left( {{{3\pi } \over 4}} \right) + i\sin \left( {{\pi \over 4}} \right) \cr} $$
D
$$\eqalign{ & \cos \left( {{{3\pi } \over 4}} \right) + i\sin \left( { - {{3\pi } \over 4}} \right), \cr & \cos \left( { - {{3\pi } \over 4}} \right) + i\sin \left( {{{3\pi } \over 4}} \right) \cr} $$
3
GATE EE 2008
MCQ (Single Correct Answer)
+1
-0.3
Given $$X(z) = {z \over {{{(z - a)}^2}}}$$ with |z| > a, the residue of $$X(z){z^{n - 1}}$$ at z = a for $$n \ge 0$$ will be
A
an - 1
B
an
C
nan
D
nan - 1
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Questions Asked from Marks 1
GATE EE 2024 (2) GATE EE 2017 Set 1 (1) GATE EE 2016 Set 2 (1) GATE EE 2015 Set 2 (1) GATE EE 2014 Set 3 (1) GATE EE 2014 Set 2 (1) GATE EE 2013 (1) GATE EE 2008 (1)
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement