The slope of the tangent to the curve $y = ln\, (cos\,x)$ a $x = \frac{3\pi}{4}$ is
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 :-
As $\theta$ increases from $0^{\circ}$ to $90^{\circ}$, the value of $\cos \theta$ :-