Mathematics · JEE

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

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Quadratic equations in real and complex number systems and their solutions JEE MCQs on Goodmarks include 18+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Quadratic equations in real and complex number systems and their solutions through exam-style multiple-choice questions. This page features 18+ JEE MCQs covering Quadratic equations in real and complex number systems and their solutions, each with verified answers and clear explanations.

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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What type of Quadratic equations in real and complex number systems and their solutions MCQs appear in JEE?

JEE Main tests Quadratic equations in real and complex number systems and their solutions through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

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