1
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Given two complex numbers $${z_1} = 5 + \left( {5\sqrt 3 } \right)i$$ and $${z_2} = {2 \over {\sqrt 3 }} + 2i,$$ the argument of $${{{z_1}} \over {{z_2}}}$$ in degrees $$i$$
A
$$0$$
B
$$30$$
C
$$60$$
D
$$90$$
2
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An analytic function of a complex variable $$z=x+iy,$$ where $$i = \sqrt { - 1} $$ is expressed as
$$f\left( z \right) = u\left( {x,y} \right) + i\,v\left( {x,y} \right).\,$$ If $$u(x,y)=2xy,$$
then $$v(x,y)$$ must be
A
$${x^2} + {y^2} + $$ constant
B
$${x^2} - {y^2} + $$ constant
C
$$-{x^2} + {y^2} + $$ constant
D
$$-{x^2} - {y^2} + $$ constant
3
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The argument of the complex number $${{1 + i} \over {1 - i}},$$ where $$i = \sqrt { - 1} ,$$ is
A
$$ - \pi $$
B
$$ - {\pi \over 2}$$
C
$$ {\pi \over 2}$$
D
$$\pi $$
4
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
The product of two complex numbers $$1 + i\,\,\,\,\& \,\,\,\,2 - 5\,i$$ is
A
$$7-3i$$
B
$$3-4i$$
C
$$-3-4i$$
D
$$7+3i$$
GATE ME Subjects
Turbo Machinery
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12