JEE-ADVANCED SERIES Mathematics
Complex Numbers And Quadratic Equations
21 previous year questions.
Volume: 21 Ques
Yield: High
High-Yield Trend
1
2014 1
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1980 Chapter Questions 21 MCQs
01
PYQ 1980
medium
mathematics ID: jee-adva
Both the roots of the equation are always
1
positive
2
negative
3
real
4
None of these
02
PYQ 1992
medium
mathematics ID: jee-adva
Let be the roots of the equation, .Then the roots of the equation are
1
a, c
2
b, c
3
a, b
4
a + c, b + c
03
PYQ 1997
medium
mathematics ID: jee-adva
The equation has
1
no solution
2
one solution
3
two solutions
4
more than two solutions
04
PYQ 1998
medium
mathematics ID: jee-adva
If is an imaginary cube root of unity, then (1 + - is equal to
1
128
2
-128
3
128
4
-128
05
PYQ 1998
medium
mathematics ID: jee-adva
The value of is
1
-1
2
0
3
-i
4
i
06
PYQ 1999
medium
mathematics ID: jee-adva
If then is equal to
1
1-i
2
-1 + i
3
i
4
-i
07
PYQ 2000
medium
mathematics ID: jee-adva
If and are the roots of the equation where ,the
1
0
2
3
4
08
PYQ 2000
medium
mathematics ID: jee-adva
For the equation if one of the root is square of the other, then p is equal to
1
44564
2
1
3
3
4
44595
09
PYQ 2001
easy
mathematics ID: jee-adva
The complex numbers and satisfying are the vertices of a triangle which is
1
of area zero
2
right angled isosceles
3
equilateral
4
obtuse angled isosceles
10
PYQ 2001
medium
mathematics ID: jee-adva
Let and be nth roots of unity which subtend a right angled at the origin, then n must be of the form (where, k is an integer)
1
4k+1
2
4k+2
3
4k+3
4
4k
11
PYQ 2004
medium
mathematics ID: jee-adva
If one root is square of the other root of the equation then the relation between p and q is
1
2
3
4
12
PYQ 2004
medium
mathematics ID: jee-adva
If be a cube root of unity and then the least positive value of n is
1
2
2
3
3
5
4
6
13
PYQ 2005
medium
mathematics ID: jee-adva
The shaded region, where is represented by
1
| z + 1| >2,| arg (z + 1) |
2
| z + 1| < 2,| arg (z + 1) |
3
| z + 1| >2,| arg (z + 1) |>
4
| z - 1| < 2,| arg (z + 1) |>
14
PYQ 2005
medium
mathematics ID: jee-adva
The minimum value of , where and are all not equal integers and is a cube root of unity, is
1
2
3
1
4
0
15
PYQ 2006
medium
mathematics ID: jee-adva
If a, b,c are the sides of a triangle ABC such that has real roots, then
1
$\lambda
2
3
4
16
PYQ 2007
medium
mathematics ID: jee-adva
Let , be the roots of the equation and be the roots of the equation Then, the value of r is
1
2
3
4
17
PYQ 2007
medium
mathematics ID: jee-adva
A man walks a distance of 3 units from the origin towards the North-East (N 45 E) direction. From there, he walks a distance of 4 units towards the North-West (N 45 W) direction to reach a point P. Then, the position of P in the Arg and plane is
1
2
3
4
18
PYQ 2009
medium
mathematics ID: jee-adva
Let . Then, the value of at is
1
2
3
4
19
PYQ 2011
medium
mathematics ID: jee-adva
A value of for which the equations have one root in common is
1
2
3
4
20
PYQ 2013
easy
mathematics ID: jee-adva
Let and Further and $H_2=\bigg[ z\in C: Re \,z
1
2
3
4
21
PYQ 2014
medium
mathematics ID: jee-adva
In the quadratic equation with real coefficients has purely imaginary roots. Then, the equation has
1
only purely imaginary roots
2
all real roots
3
two real and two purely imaginary roots
4
neither real nor purely imaginary roots
About Complex Numbers And Quadratic Equations - JEE-ADVANCED
Complex Numbers And Quadratic Equations is a vital chapter for JEE-ADVANCED 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 And Quadratic Equations 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 And Quadratic Equations carry the most weight. Then, tackle the questions iteratively to solidify your understanding.