JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

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Analyzing +4 | -1

Let

f\left( x \right) = {x^2} + ax + b

, where

a,\;b \in R

. If

f\left( x \right) = 0

has all its roots imaginary, then the roots of

f\left( x \right) + f'\left( x \right) + f''\left( x \right) = 0

are

View answer and explanation

Correct option: B

Imaginary

Option B (Imaginary) is correct because if

f(x) = 0

has imaginary roots, then

f(x) + f'(x) + f''(x) = 0

also has imaginary roots.

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{x^2} + 4ax + 2 > 0

x

a

f\left( x \right) = a{x^2} + bx + c\;

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9{x^2} - 18\left| x \right| + 5 = 0

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