Mathematics · JEE

Complex Numbers and Quadratic Equations Previous Year Questions for JEE

46+ syllabus-aligned questions available

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Goodmarks offers 46+ 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.

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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

(1-i) x+(1+i) y=1-3 i,

then

(x, y)=

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

Determine the nature of roots of the equation

x^{2}+2 x \sqrt{3}+3=0

Q8MathsUnit 2: Complex Numbers and Quadratic Equations

Let

z \neq-i

be any complex number such that

\frac{z-i}{z+i}

is a purely imaginary number. Then

z+\frac{1}{z}

is :

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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.