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
$$(2,\,\alpha )$$
GATE PI Subjects
Engineering Mechanics
Theory of Machines
Machine Design
Fluid Mechanics
Thermodynamics
Casting
Joining of Materials
Metal Forming
Machine Tools and Machining
Metrology
Industrial Engineering
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12
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