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Number of solutions of the equation $\sin (\frac{π x}{2 \sqrt{3}}) = x^{2} - 2 \sqrt{3} x + 4$ is

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Correct option is B

We have sinπx23=x2−23x+4=x−32+1⇒LHS≤1,RHS≥1⇒LHS=RHS=1⇒x=3

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Number of solutions of the equation sinπx23=x2−23x+4 is

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Number of solutions of the equation $\sin (\frac{π x}{2 \sqrt{3}}) = x^{2} - 2 \sqrt{3} x + 4$ is