Q1MathsUnit 2: Complex Numbers and Quadratic Equations
If then is equal to
Mathematics · JEE
Hard Relations between roots and coefficients, nature of roots MCQs for JEE
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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
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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
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