Mathematics · JEE

Complex Numbers and Quadratic Equations Revision for JEE

34+ syllabus-aligned questions available

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Revise Complex Numbers and Quadratic Equations by covering every subtopic once, drilling formulas, then solving 34+ timed MCQs with full solutions.

Use this Complex Numbers and Quadratic Equations revision checklist before mocks and the final exam. Reinforce concepts with 34+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Argand diagram, modulus, argument
  2. 2.Roots of quadratics, relation with coefficients
  3. 3.Formation of quadratic with given roots
  4. 4.Revise Complex numbers as ordered pairs of reals with 10 MCQs
  5. 5.Revise Representation of complex numbers in the form a+ib and their representation in a plane with 10 MCQs
  6. 6.Revise Argand diagram with 10 MCQs
  7. 7.Revise Algebra of complex numbers with 10 MCQs
  8. 8.Revise Modulus and argument (or amplitude) of a complex number with 10 MCQs
  9. 9.Revise Quadratic equations in real and complex number systems and their solutions with 10 MCQs

65+ important formulas for Complex Numbers and Quadratic Equations

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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=x29\boldsymbol{y}=\boldsymbol{x}^{2}-\mathbf{9} and y3=\boldsymbol{y}-\boldsymbol{3}= x?x ?
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
If we plot Z1=2\left|Z_{1}\right|=2 and Z268i=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+z2|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 t2t^{2}- 4t90=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 (1i)x+(1+i)y=13i,(1-i) x+(1+i) y=1-3 i, then (x,y)=(x, y)=
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
Determine the nature of roots of the equation x2+2x3+3=0x^{2}+2 x \sqrt{3}+3=0
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
Let ziz \neq-i be any complex number such that ziz+i\frac{z-i}{z+i} is a purely imaginary number. Then z+1zz+\frac{1}{z} is :

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Frequently asked questions

How should I revise Complex Numbers and Quadratic Equations before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.