Mathematics · JEE

Complex Numbers and Quadratic Equations Previous Year Questions for JEE

21+ syllabus-aligned questions available

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Goodmarks offers 21+ JEE-style PYQs for Complex Numbers and Quadratic Equations with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Complex Numbers and Quadratic Equations is tested in JEE. Practise 21+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Subtopics in Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals
Representation of complex numbers in the form a+ib and their representation in a plane
Argand diagram
Algebra of complex numbers
Modulus and argument (or amplitude) of a complex number
Quadratic equations in real and complex number systems and their solutions
Relations between roots and coefficients, nature of roots
The formation of quadratic equations with given roots

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Q1MathsUnit 2: Complex Numbers and Quadratic Equations

x+\frac{1}{x}=4,

then

x^{4}+\frac{1}{x^{4}}

is equal to

Q2MathsUnit 2: Complex Numbers and Quadratic Equations

What are the solution(s) to the system of equations

\boldsymbol{y}=\boldsymbol{x}^{2}-\mathbf{9}

and

\boldsymbol{y}-\boldsymbol{3}=

x ?

Q3MathsUnit 2: Complex Numbers and Quadratic Equations

If we plot

\left|Z_{1}\right|=2

and

\left|Z_{2}-6-8 i\right|=4

on the argand plane, the locus of

Z_{1}

and

Z_{2}

are

Q4MathsUnit 2: Complex Numbers and Quadratic Equations

For a complex number z, the minimum value of

|z|+|z-2|

Q5MathsUnit 2: Complex Numbers and Quadratic Equations

A family is going to a theme park having

t

members in the family. Each ticket costs

\$ 80,

and the number of tickets needs to be bought can be calculated from the expression

t^{2}-

4 t-90=6

when

t>0 .

What is the total cost of the theme park tickets that the family paid?

Q6MathsUnit 2: Complex Numbers and Quadratic Equations

\left|\mathbf{z}^{2}-\mathbf{1}\right|=|\mathbf{z}|^{2}+\mathbf{1},

then

\mathbf{z}

lies on

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

If the product of two numbers is 10 and their sum is

7,

which is the greatest of the two numbers?

Q8MathsUnit 2: Complex Numbers and Quadratic Equations

Discriminant of the equation

-3 x^{2}+

2 x-8=0

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Frequently asked questions

Why practise PYQs for Complex Numbers and Quadratic Equations?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Complex Numbers and Quadratic Equations, covering the same topics as previous year papers.

How should I use PYQs for Complex Numbers and Quadratic Equations?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.