VITEEE SERIES Mathematics
Complex Numbers
34 previous year questions.
Volume: 34 Ques
Yield: High
High-Yield Trend
2
2024 2
2021 2
2019 3
2018 1
2017 3
2016 3
2015 3
2014 1
2013 1
2012 1
2011 3
2010 2
2009 3
2008 2
2007 Chapter Questions 34 MCQs
01
PYQ 2006
medium
mathematics ID: viteee-2
The region of the Argand plane defined by is:
1
Interior of an ellipse
2
Exterior of a circle
3
Interior and boundary of an ellipse
4
Interior of a parabola
02
PYQ 2006
medium
mathematics ID: viteee-2
The value of the sum , where , equals:
1
2
3
4
03
PYQ 2007
medium
mathematics ID: viteee-2
The product of all values of is equal to
1
1
2
3
4
04
PYQ 2007
medium
mathematics ID: viteee-2
The imaginary part of is
1
2
0
3
4
05
PYQ 2008
medium
mathematics ID: viteee-2
If , the value of
1
3
2
4
3
5
4
6
06
PYQ 2008
medium
mathematics ID: viteee-2
Argument of the complex number is
1
2
3
4
07
PYQ 2008
medium
mathematics ID: viteee-2
If , the value of |z|
1
3
2
4
3
5
4
6
08
PYQ 2009
medium
mathematics ID: viteee-2
If is an integer which leaves remainder one when divided by three, then
equals
equals
1
2
3
4
09
PYQ 2009
medium
mathematics ID: viteee-2
The locus of satisfying the inequality
is
1
2
3
4
10
PYQ 2010
medium
mathematics ID: viteee-2
If , then is
1
2
3
4
11
PYQ 2010
medium
mathematics ID: viteee-2
If satisfies the equation , then is equal to
1
2
3
4
12
PYQ 2010
medium
mathematics ID: viteee-2
If satisfies the equation , then is equal to
1
2
3
4
13
PYQ 2011
medium
mathematics ID: viteee-2
If , then find :
1
2
3
4
None of these
14
PYQ 2012
medium
mathematics ID: viteee-2
If the complex numbers are in AP, then they lie on a:
1
circle
2
parabola
3
line
4
ellipse
15
PYQ 2013
medium
mathematics ID: viteee-2
A complex number is such that . The points representing this complex number will lie on
1
an ellipse
2
a parabola
3
a circle
4
a straight line
16
PYQ 2014
medium
mathematics ID: viteee-2
If the area of the triangle on the complex plane formed by the points and is 200, then the value of must be equal to?
1
2
3
4
17
PYQ 2014
medium
mathematics ID: viteee-2
The greatest and the least value of , where and , are?
1
2
3
4
None of these
18
PYQ 2014
medium
mathematics ID: viteee-2
If , and , then is equal to?
1
2
3
4
None of these
19
PYQ 2015
medium
mathematics ID: viteee-2
If , then the least value of is
1
2
3
4
20
PYQ 2015
medium
mathematics ID: viteee-2
If , then the least value of is
1
2
3
3
4
4
21
PYQ 2015
medium
mathematics ID: viteee-2
If the complex number lies on a circle with center at the origin and radius , then the complex number lies on a circle with radius
1
2
2
3
4
22
PYQ 2016
medium
mathematics ID: viteee-2
The value of is
1
2
3
4
23
PYQ 2016
medium
mathematics ID: viteee-2
The value of is
1
2
3
4
24
PYQ 2016
medium
mathematics ID: viteee-2
The value of , where is
1
2
3
4
25
PYQ 2017
medium
mathematics ID: viteee-2
The equation represents a circle of radius
1
2
2
3
3
4
4
6
26
PYQ 2018
medium
mathematics ID: viteee-2
One of the values of is:
1
2
3
4
27
PYQ 2018
medium
mathematics ID: viteee-2
Amplitude of is:
1
2
3
4
28
PYQ 2018
easy
mathematics ID: viteee-2
Amplitude of is :
1
2
3
4
29
PYQ 2019
medium
mathematics ID: viteee-2
If , then is:
1
16
2
-16
3
16
4
16
30
PYQ 2019
medium
mathematics ID: viteee-2
If , , then is equal to:
1
1
2
2
3
3
4
4
31
PYQ 2021
medium
mathematics ID: viteee-2
The shortest distance between the lines , and is:
1
2
3
4
32
PYQ 2021
medium
mathematics ID: viteee-2
The equations , , and are:
1
consistent with unique solution
2
inconsistent
3
consistent with infinitely many solutions
4
None of the above
33
PYQ 2024
medium
mathematics ID: viteee-2
The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects?
1
520
2
490
3
560
4
480
34
PYQ 2024
hard
mathematics ID: viteee-2
Let be a complex number and let . If is purely real, then is equal to
1
2
3
4
1