If 1 lies between roots of the equation $t^2-m t+3=0$ then $\left[\left(\frac{2|t|}{|t|^2+4}\right)^

Question

If 1 lies between roots of the equation $t^2-m t+3=0$ then $\left[\left(\frac{2|t|}{|t|^2+4}\right)^m\right]=$ $\_\_\_\_$ .

Professor PC Thomas Classes · Answer

$f(t)=t^{2}-mt+3=0 \rightarrow 1$ lies between the roots $\Rightarrow f(1)<0 \Rightarrow 1-m+3<0 \Rightarrow m>4$.