Mathematics · JEE

Online Practice: Complex Numbers and Quadratic Equations for JEE

21+ syllabus-aligned questions available

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Goodmarks provides free online JEE practice for Complex Numbers and Quadratic Equations with 21+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Complex Numbers and Quadratic Equations. Goodmarks offers 21+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

How do I practice Complex Numbers and Quadratic Equations online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Complex Numbers and Quadratic Equations question bank with topic filters and detailed explanations.

How many Complex Numbers and Quadratic Equations questions are available?

Goodmarks currently has 21+ JEE-aligned MCQs for Complex Numbers and Quadratic Equations, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including 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, and more.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.