Mathematics · JEE

Online Practice: 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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How do I practice Relations between roots and coefficients, nature of roots online for JEE?

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Goodmarks currently has 7+ JEE-aligned MCQs for Relations between roots and coefficients, nature of roots, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Relations between roots and coefficients, nature of roots.

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