The area $'A'$ of a blot of ink is growing such that after $t$ second its area is given by $A = (3t^2 + 7)\,cm^2$. Calculate the rate of increase of area at $t = 2\, sec$. .......... $cm^2/s$
$6$
$17$
$12$
$19$
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 :-
The greatest value of the function $-5 \sin \theta+12 \cos \theta$ is
If $F = \frac{2}{{\sin \,\theta + \sqrt 3 \,\cos \,\theta }}$, then minimum value of $F$ is
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 :