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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationExpert
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If the roots of (x^2-sx+1=0) can be (\tan\theta) and (\cot\theta), what is the correct condition on (s) for real (\theta)?

Answer and explanation

Correct answer: (s^2\ge4)

We have (\tan\theta\cdot\cot\theta=1) and (\tan\theta+\cot\theta=s). For real values, (s^2-4\ge0), so (s^2\ge4).

Related tags

Quadratic-RootsTrigonometric-RootsConditionRoots Of A Quadratic EquationQuadratic EquationsMathematicsClass 10 Mcq
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