1
GATE IN 2015
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\oint\limits_c {{1 \over {{z^2}}}dz} $$ where the contour is the unit circle traversed clock - wise, is
A
$$ - 2\pi i$$
B
$$0$$
C
$$ 2\pi i$$
D
$$ 4\pi i$$
2
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
Let $$j\, = \,\sqrt { - 1} $$. Then one value of $${j^j}$$ is
A
$$\sqrt 3 $$
B
-1
C
$${{\sqrt 3 } \over 2}$$
D
$${e^{ - {\pi \over 2}}}$$
3
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
For the function $${{\sin z} \over {{z^3}}}$$ of a complex variable z, the point z = 0 is
A
a pole of order 3
B
a pole of order 2
C
a pole of order 1
D
not a singularity
4
GATE IN 2005
MCQ (Single Correct Answer)
+1
-0.3
Let $${z^3}\, = \,\overline z $$, where z is a complex number not equal to zero. Then z is a solution of
A
$${z^2} = 1$$
B
$${z^3} = 1$$
C
$${z^4} = 1$$
D
$${z^9} = 1$$