Q1MathsUnit 2: Complex Numbers and Quadratic Equations
If then is equal to
Mathematics · JEE
Medium Relations between roots and coefficients, nature of roots MCQs for JEE
12+ syllabus-aligned questions available
Quick answer
Medium Relations between roots and coefficients, nature of roots MCQs bridge basics and advanced JEE problems — 12+ available on Goodmarks.
Medium-difficulty Relations between roots and coefficients, nature of roots MCQs mirror typical JEE Main questions. Practise 12+ MCQs with step-by-step solutions.
Syllabus context
Part of Complex Numbers and Quadratic Equations in JEE Main Mathematics.
- Complex numbers as ordered pairs of reals
- Representation of complex numbers in the form a+ib and their representation in a plane
- Argand diagram
- Algebra of complex numbers
- Modulus and argument (or amplitude) of a complex number
- Quadratic equations in real and complex number systems and their solutions
- Relations between roots and coefficients, nature of roots
- The formation of quadratic equations with given roots
Free sample questions
Attempt 8 free MCQs for Relations between roots and coefficients, nature of roots. Unlock 4+ more with Pro.
Q2MathsUnit 2: Complex Numbers and Quadratic Equations
If the product of two numbers is 10 and
their sum is which is the greatest of the two numbers?
Q3MathsUnit 2: Complex Numbers and Quadratic Equations
The zeros of the polynomial
are and What
is the value of 'a'?
Q4MathsUnit 2: Complex Numbers and Quadratic Equations
Discriminant of the equation
is
Q5MathsUnit 2: Complex Numbers and Quadratic Equations
If the sum of the roots of the equation
is equal to sum of the
squares of their reciprocals, then are in
Q6MathsUnit 2: Complex Numbers and Quadratic Equations
If and find:
the value of
Q7MathsUnit 2: Complex Numbers and Quadratic Equations
Find for has
Q8MathsUnit 2: Complex Numbers and Quadratic Equations
Assertion
Let equations
have
common root, then
Reason
If both roots of
are identical
and
Want unlimited Relations between roots and coefficients, nature of roots practice?
Pro unlocks the full question bank, topic filters, and attempt history.
Popular questions in Relations between roots and coefficients, nature of roots
- The area of a rhombus is 2016 sq \( \mathrm{cm} \) and its side is \( 65 \mathrm{cm} . \) The lengths of the diagonals (…
- If a zero of \( p(x)=x^{2}+3 x+g \) is \( 2, \) then value of \( g \) is…
- If \( x+\frac{1}{x}=4, \) then \( x^{4}+\frac{1}{x^{4}} \) is equal to…
- If the product of two numbers is 10 and their sum is \( 7, \) which is the greatest of the two numbers?…
- Discriminant of the equation \( -3 x^{2}+ \) \( 2 x-8=0 \) is…
- If \( x-y=7 \) and \( x^{3}-y^{3}=133 ; \) find: the value of \( x y \)…
Frequently asked questions
Are medium Relations between roots and coefficients, nature of roots MCQs enough for JEE Main?
Yes for many units — combine with PYQ-style and mock tests as exam day approaches.
Related topics
How to Prepare: Relations between roots and coefficients, nature of roots
JEE preparation strategy and study plan
Practice: Relations between roots and coefficients, nature of roots
Online Practice
MCQs: Relations between roots and coefficients, nature of roots
MCQs
PYQs: Relations between roots and coefficients, nature of roots
Previous Year Questions
Important: Relations between roots and coefficients, nature of roots
Important Questions
Mock Test: Relations between roots and coefficients, nature of roots
Mock Test
Notes: Relations between roots and coefficients, nature of roots
Notes & Formulas
Mistakes: Relations between roots and coefficients, nature of roots
Common Mistakes
Weightage: Relations between roots and coefficients, nature of roots
Weightage
Revision: Relations between roots and coefficients, nature of roots
Revision
Concepts: Relations between roots and coefficients, nature of roots
Concepts
Tricks: Relations between roots and coefficients, nature of roots
Short Tricks