The greatest value of the function $-5 \sin \theta+12 \cos \theta$ is
$12$
$13$
$7$
$17$
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 :
The sum of the series $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\ldots \ldots . \infty$ 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 :
If $log_{10} (xy) = 2$, then the value of $xy$ is