Magnitude of slope of the shown graph.
The coordinates of a particle moving in $XY$-plane vary with time as $x=4 t ^2 ; y=2 t$. The locus of the particle is a :-
If $\tan \theta=\frac{1}{\sqrt{5}}$ and $\theta$ lies in the first quadrant, the value of $\cos \theta$ is :
The greatest value of the function $-5 \sin \theta+12 \cos \theta$ is