Mathematics · JEE

Quadratic equations in real and complex number systems and their solutions Previous Year Questions for JEE

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Syllabus context

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

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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

Determine whether the equation

5 x^{2}=

5 x

is quadratic or not.

Q6MathsUnit 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?

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

Solve

: 3^{4 x+1}-2 \times 3^{2 x+2}-81=0

Q8MathsUnit 2: Complex Numbers and Quadratic Equations

a^{2}-4 a-1=0, a \neq 0,

then the value of

a^{2}+3 a+\frac{1}{a^{2}}-\frac{3}{a}

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Frequently asked questions

Why practise PYQs for Quadratic equations in real and complex number systems and their solutions?

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 Quadratic equations in real and complex number systems and their solutions, 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.