Mathematics · JEE

Complex Numbers and Quadratic Equations MCQs for JEE

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Complex Numbers and Quadratic Equations JEE MCQs on Goodmarks include 46+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Complex Numbers and Quadratic Equations through exam-style multiple-choice questions. This page features 46+ JEE MCQs covering 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, each with verified answers and clear explanations.

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Subtopics in Complex Numbers and Quadratic Equations

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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

(1-i) x+(1+i) y=1-3 i,

then

(x, y)=

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

Determine the nature of roots of the equation

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

Q8MathsUnit 2: Complex Numbers and Quadratic Equations

Let

z \neq-i

be any complex number such that

\frac{z-i}{z+i}

is a purely imaginary number. Then

z+\frac{1}{z}

is :

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Frequently asked questions

What type of Complex Numbers and Quadratic Equations MCQs appear in JEE?

JEE Main tests Complex Numbers and Quadratic Equations through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

How many MCQs should I solve for Complex Numbers and Quadratic Equations?

Aim for at least 50–100 MCQs per subtopic. Goodmarks has 46+ questions for Complex Numbers and Quadratic Equations to build speed and accuracy.

Are solutions provided for every MCQ?

Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

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