The number of solution$(s)$ of the equation $ln(lnx)$ = $log_xe$ is -
$0$
$1$
$2$
infinite
If $\alpha ,\beta $ and $\gamma $ are the roots of ${x^3} + px + q = 0$, then the value of ${\alpha ^3} + {\beta ^3} + {\gamma ^3}$ is equal to
If $x$ be real, then the minimum value of ${x^2} - 8x + 17$ is
Let $x$ and $y$ be two $2-$digit numbers such that $y$ is obtained by reversing the digits of $x$. Suppose they also satisfy $x^2-y^2=m^2$ for some positive integer $m$. The value of $x+y+m$ is
The smallest value of ${x^2} - 3x + 3$ in the interval $( - 3,\,3/2)$ is
Solution of the equation $\sqrt {x + 3 - 4\sqrt {x - 1} } + \sqrt {x + 8 - 6\sqrt {x - 1} } = 1$ is