JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

p, q, r \in R

and

r>p>0

. If the quadratic equation

p x^{2}+q x+r=0

has two complex roots

\alpha

and

\beta

, then

|\alpha|+

|\beta|

View answer and explanation

Correct option: C

greater than 2

Option C (greater than 2) is correct because the magnitude of the complex roots is greater than 1, and the sum of their magnitudes is greater than 2.

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{\alpha _1},{\beta _1}

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

x

a

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