Mathematics · JEE

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

12+ syllabus-aligned questions available

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Revise Quadratic equations in real and complex number systems and their solutions by covering every subtopic once, drilling formulas, then solving 12+ timed MCQs with full solutions.

Use this Quadratic equations in real and complex number systems and their solutions revision checklist before mocks and the final exam. Reinforce concepts with 12+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Quadratic equations in real and complex number systems and their solutions
  2. 2.Relates to other subtopics in Complex Numbers and Quadratic Equations
  3. 3.Argand diagram, modulus, argument
  4. 4.Roots of quadratics, relation with coefficients
  5. 5.Master Quadratic equations in real and complex number systems and their solutions definitions and standard results
  6. 6.Solve 20 timed MCQs for Quadratic equations in real and complex number systems and their solutions

Free sample questions

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Q1MathsUnit 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 ?
Q2MathsUnit 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?
Q3MathsUnit 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
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
Determine all ordered pairs that satisfy (xy)2+x2=25,(x-y)^{2}+x^{2}=25, where xx and yy are integers and x0.x \geq 0 . Find the number of different values of yy that occur
Q5MathsUnit 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. 1350.1350 . What will be the cost of putting a fence all round the field at the rate of 50 paise per metre?
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
A quadratic polynomial has at the most zero(es).
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
Check whether 2x23x+5=02 x^{2}-3 x+5=0 has real roots or no.
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
The polynomial 4x2+2x24 x^{2}+2 x-2 is a

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Frequently asked questions

How should I revise Quadratic equations in real and complex number systems and their solutions before JEE?

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