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Engineering Mathematics
Probability and Statistics
Marks 1Marks 2
Complex Variable
Marks 1
Vector Calculus
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
Linear Algebra
Marks 1Marks 2
Calculus
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Transform Theory
Marks 1
Previous
1
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of the expression $${{ - 5 + 10i} \over {3 + 4i}}$$ is
A
$$1 - 2i$$
B
$$1 + 2i$$
C
$$2 - i$$
D
$$2 + i$$
2
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
If a complex number $$z = {{\sqrt 3 } \over 2} + i{1 \over 2}$$ then z4 is
A
$$2\sqrt 2 + 2i$$
B
$$ - {1 \over 2} + i{{\sqrt 3 } \over 2}$$
C
$${{\sqrt 3 } \over 2} - i{1 \over 2}\,$$
D
$${{\sqrt 3 } \over 8} - i{1 \over 8}$$
3
GATE PI 2005
MCQ (Single Correct Answer)
+1
-0.3
The function $$$w = u + iv = {1 \over 2}\log \left( {{x^2} + {y^2}} \right) + i{\tan ^{ - 1}}\left( {{y \over x}} \right)$$$ is not analytic at the point.
A
(0, 0)
B
(0, 1)
C
(1, 0)
D
$$(2,\,\alpha )$$
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Questions Asked from Marks 1
GATE PI 2016 (1) GATE PI 2008 (1) GATE PI 2007 (1) GATE PI 2005 (1)
GATE PI Subjects
Fluid Mechanics
Metrology
Theory of Machines
Engineering Mathematics
Heat Transfer
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Strength of Materials
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming