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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