Question

The number of integral values of $m$ for which the equation $sinx-\sqrt{3}cosx=\frac{4m-6}{4-m}$ has solution is:

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Answer 1

$-2\le \left(\frac{4m-6}{4-m}\right)\le 2$

$\Rightarrow mϵ[-1,\frac{7}{3}]$

$\Rightarrow m=-1,0,1,2$