As $\theta$ increases from $0^{\circ}$ to $90^{\circ}$, the value of $\cos \theta$ :-

The side of a square is increasing at the rate of $0.2\,cm / s$. The rate of increase of perimeter w.r.t. time is $...........\,cm / s$

A particular straight line passes through origin and a point whose abscissa is double of ordinate of the point. The equation of such straight line is :

Two particles $A$ and $B$ are moving in $X Y$-plane.

Their positions vary with time $t$ according to relation :

$x_A(t)=3 t, \quad x_B(t)=6$

$y_A(t)=t, \quad y_B(t)=2+3 t^2$

Distance between two particles at $t =1$ is :

In the given figure, each box represents a function machine. A function machine illustrates what it does with the input.Which of the following statements is correct?

Magnitude of slope of the shown graph.