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Mathematics · JEE

Complex Numbers and Quadratic Equations Mock Test for JEE

21+ syllabus-aligned questions available

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A Complex Numbers and Quadratic Equations JEE mock test on Goodmarks lets you attempt 21+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Complex Numbers and Quadratic Equations mock test. Attempt 21+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

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

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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

How long should a Complex Numbers and Quadratic Equations mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

What is a good score on a Complex Numbers and Quadratic Equations mock test?

Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

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