Block on Incline (2)

A block of mass M rests on an fixed incline plane of angle \(\theta\). A horizontal force of magnitude Mg is applied on the block, If the coefficient of static friction of the incline be \(0.5\) . For what ranges of \(\theta\) will the block still remain at rest?

Note : The answer is of the form \(a\leq tan\theta\leq b\) Find \(ab\)

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