The equation whose roots are ${\sec }^2\alpha \&{cosec}^2\alpha$ can be -

If $\cos \alpha$ is a root of the equation $25x^2+5x-12=0,-1<x<0$, then the value of $\sin 2\alpha$ is

$\left(\mathrm{A}\right)$    $\frac{12}{25}$

$\left(\mathrm{B}\right) \frac{-12}{25}$

$\left(\mathrm{C}\right) \frac{-24}{25}$

$\left(\mathrm{D}\right) \frac{24}{25}$

Graph of $y=a{x}^2+bx+c$ is given adjacently. What conclusions can be drawn from this graph -