If $\sin \theta=x+\frac{a}{x}, \forall \, x \in R \sim\{0\}$, then

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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\sin \theta=x+\frac{a}{x}, \forall \, x \in R \sim\{0\}

, then

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Correct option: C

a \leq \frac{1}{4}

Option C (

a \leq \frac{1}{4}

) is correct because it is derived from the condition for the existence of real roots of the quadratic equation.

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\mathrm{X}

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