Mathematics · JEE

Online Practice: Quadratic equations in real and complex number systems and their solutions for JEE

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Sharpen your mathematics preparation with interactive online practice for Quadratic equations in real and complex number systems and their solutions. Goodmarks offers 18+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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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How do I practice Quadratic equations in real and complex number systems and their solutions online for JEE?

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Goodmarks currently has 18+ JEE-aligned MCQs for Quadratic equations in real and complex number systems and their solutions, 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 Quadratic equations in real and complex number systems and their solutions.

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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.