Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationTheory of equationsEasy2 minQB

MathematicsEasysingle choice

The quadratic equation $(4 + cos θ) x^{2} - (2 sin θ) x + (3 - cos θ) = 0$ has

Answer:

Solution:

Discriminant $= 4 sin^{2} θ - 4 (4 + cos θ) (3 - cos θ)$

$= 4 [sin^{2} θ - (12 - cos θ - cos^{2} θ)]$

$= 4 [- 11 + cos θ] < 0 \forall θ \in R$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Theory of equations

⏱ 2mℹ️ Source: QB

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