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
About Complex Numbers - VITEEE
Complex Numbers is a vital chapter for VITEEE aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Complex Numbers PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Complex Numbers carry the most weight. Then, tackle the questions iteratively to solidify your understanding.