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Complex Numbers and Quadratic Equations MCQs for JEE

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Complex Numbers and Quadratic Equations JEE MCQs on Goodmarks include 21+ 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 21+ 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.

Subtopics in Complex Numbers and Quadratic Equations

  • 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
  • Modulus and argument (or amplitude) of a complex number
  • Quadratic equations in real and complex number systems and their solutions
  • Relations between roots and coefficients, nature of roots
  • The formation of quadratic equations with given roots

Free sample questions

Attempt 8 free MCQs for Complex Numbers and Quadratic Equations. Unlock 13+ more with Pro.

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Q1MathsUnit 2: Complex Numbers and Quadratic Equations
If x+1x=4,x+\frac{1}{x}=4, then x4+1x4x^{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 y=x2−9\boldsymbol{y}=\boldsymbol{x}^{2}-\mathbf{9} and y−3=\boldsymbol{y}-\boldsymbol{3}= x?x ?
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
If we plot ∣Z1∣=2\left|Z_{1}\right|=2 and ∣Z2−6−8i∣=4\left|Z_{2}-6-8 i\right|=4 on the argand plane, the locus of Z1Z_{1} and Z2Z_{2} are
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
For a complex number z, the minimum value of ∣z∣+∣z−2∣|z|+|z-2| is
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
A family is going to a theme park having tt members in the family. Each ticket costs $80,\$ 80, and the number of tickets needs to be bought can be calculated from the expression t2−t^{2}- 4t−90=64 t-90=6 when t>0.t>0 . What is the total cost of the theme park tickets that the family paid?
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
If ∣z2−1∣=∣z∣2+1,\left|\mathbf{z}^{2}-\mathbf{1}\right|=|\mathbf{z}|^{2}+\mathbf{1}, then z\mathbf{z} lies on
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
If the product of two numbers is 10 and their sum is 7,7, which is the greatest of the two numbers?
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
Discriminant of the equation −3x2+-3 x^{2}+ 2x−8=02 x-8=0 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 21+ 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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