Mathematics · JEE

Quadratic equations in real and complex number systems and their solutions Concepts for JEE

12+ syllabus-aligned questions available

Quick answer

Master Quadratic equations in real and complex number systems and their solutions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Quadratic equations in real and complex number systems and their solutions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Quadratic equations in real and complex number systems and their solutions is a core JEE Main Mathematics subtopic under Complex Numbers and Quadratic Equations. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Quadratic equations in real and complex number systems and their solutions in the JEE syllabus
Memorise key formulas and standard results linked to Quadratic equations in real and complex number systems and their solutions
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Quadratic equations in real and complex number systems and their solutions with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Quadratic equations in real and complex number systems and their solutions and reattempt after 48 hours

Common trap

Students often rush Quadratic equations in real and complex number systems and their solutions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Complex Numbers and Quadratic Equations in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 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 ?

Q2MathsUnit 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?

Q3MathsUnit 2: Complex Numbers and Quadratic Equations

Determine the nature of roots of the equation

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

Q4MathsUnit 2: Complex Numbers and Quadratic Equations

Determine all ordered pairs that satisfy

(x-y)^{2}+x^{2}=25,

where

x

and

y

are integers and

x \geq 0 .

Find the number of different values of

y

that occur

Q5MathsUnit 2: Complex Numbers and Quadratic Equations

The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. metres fetches Rs.

1350 .

What will be the cost of putting a fence all round the field at the rate of 50 paise per metre?

Q6MathsUnit 2: Complex Numbers and Quadratic Equations

A quadratic polynomial has at the most zero(es).

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

Check whether

2 x^{2}-3 x+5=0

has real roots or no.

Q8MathsUnit 2: Complex Numbers and Quadratic Equations

The polynomial

4 x^{2}+2 x-2

is a

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Frequently asked questions

What concepts in Quadratic equations in real and complex number systems and their solutions are essential for JEE?

Focus on core ideas across Quadratic equations in real and complex number systems and their solutions. JEE tests application, not just memorisation.