The path of a projectile is a parabola.

The correct option is A True
Let $u$ & $\theta$ be the speed and angle of projection respectively

using equation $s=ut+\frac{a{t}^2}{2}$ in both X and Y direction

$X=ucos\theta t\dots \left(1\right)$

$Y=usin\theta t-\frac{g{t}^2}{2}\dots \left(2\right)$

from $\left(1\right)$ putting the value of $t$ in $\left(2\right)$

$Y=xtan\theta -\frac{g{x}^2}{2u^{2}co{s}^2\theta }$

which is of form $Y=ax-b{x}^2$ and that is equation of parabola