Mathematics · JEE

Relations between roots and coefficients, nature of roots Short Tricks for JEE

8+ syllabus-aligned questions available

Quick answer

Short tricks for Relations between roots and coefficients, nature of roots work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

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Short tricks for speed

  • Relations between roots and coefficients, nature of roots focus drill

    Solve 15 mixed MCQs for Relations between roots and coefficients, nature of roots, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

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

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No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.