JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

p,q,r

are positive and are in AP, then roots of the quadratic equation

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

are complex for

View answer and explanation

Correct option: B

\left| {\frac{p}{r} - 7} \right| < 4\sqrt 3

Option B is correct because the condition for complex roots of the quadratic equation, given that p, q, and r are in AP, leads to the inequality

\left| {\frac{{p}}{{r}} - 7} \right| < 4\sqrt 3

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