Mathematics · JEE

Relations between roots and coefficients, nature of roots Revision for JEE

8+ syllabus-aligned questions available

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Revise Relations between roots and coefficients, nature of roots by covering every subtopic once, drilling formulas, then solving 8+ timed MCQs with full solutions.

Use this Relations between roots and coefficients, nature of roots revision checklist before mocks and the final exam. Reinforce concepts with 8+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Relations between roots and coefficients, nature of roots
  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 Relations between roots and coefficients, nature of roots definitions and standard results
  6. 6.Solve 20 timed MCQs for Relations between roots and coefficients, nature of 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
If the product of two numbers is 10 and their sum is 7,7, which is the greatest of the two numbers?
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
Discriminant of the equation 3x2+-3 x^{2}+ 2x8=02 x-8=0 is
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
If the sum of the roots of the equation ax2+bx+c=0a x^{2}+b x+c=0 is equal to sum of the squares of their reciprocals, then bc2,ca2,ab2b c^{2}, c a^{2}, a b^{2} are in
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
If xy=7x-y=7 and x3y3=133;x^{3}-y^{3}=133 ; find: the value of xyx y
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
if a,b,ca, b, c are distinct and the roots of (bc)x2+(ca)x+(a+b)=0(b-c) x^{2}+(c-a) x+(a+b)=0 are equal, then a,b,ca, b, c are in
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
If a zero of p(x)=x2+3x+gp(x)=x^{2}+3 x+g is 2,2, then value of gg is
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
The area of a rhombus is 2016 sq cm\mathrm{cm} and its side is 65cm.65 \mathrm{cm} . The lengths of the diagonals (in cm) respectively are

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Frequently asked questions

How should I revise Relations between roots and coefficients, nature of roots before JEE?

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