Mathematics · JEE

Important Questions: Relations between roots and coefficients, nature of roots for JEE

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Q1MathsUnit 2: Complex Numbers and Quadratic Equations

x+\frac{1}{x}=4,

then

x^{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,

which is the greatest of the two numbers?

Q3MathsUnit 2: Complex Numbers and Quadratic Equations

Discriminant of the equation

-3 x^{2}+

2 x-8=0

Q4MathsUnit 2: Complex Numbers and Quadratic Equations

x-y=7

and

x^{3}-y^{3}=133 ;

find: the value of

x y

Q5MathsUnit 2: Complex Numbers and Quadratic Equations

a, b, c

are distinct and the roots of

(b-c) x^{2}+(c-a) x+(a+b)=0

are equal, then

a, b, c

are in

Q6MathsUnit 2: Complex Numbers and Quadratic Equations

If a zero of

p(x)=x^{2}+3 x+g

2,

then value of

g

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

The area of a rhombus is 2016 sq

\mathrm{cm}

and its side is

65 \mathrm{cm} .

The lengths of the diagonals (in cm) respectively are

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Frequently asked questions

What makes a Relations between roots and coefficients, nature of roots question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Complex Numbers and Quadratic Equations are high-weightage?

Key areas include Relations between roots and coefficients, nature of roots. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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