If ${\rm{sin}}\alpha ,\sin \beta \;{\rm{and}}\;{\rm{cos}}\alpha $ are in GP, then roots of ${x^2} + 2x\cot \beta + 1 = 0$ are always

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

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Analyzing +4 | -1

\mathrm{sin}\alpha ,\sin \beta \;\mathrm{and}\;\mathrm{cos}\alpha

are in GP, then roots of

{x^2} + 2x\cot \beta + 1 = 0

are always

View answer and explanation

Correct option: A

Real

Option A (Real) is correct because the discriminant of the quadratic equation is non-negative, implying that the roots are real.

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