If $\tan \theta=\frac{1}{\sqrt{5}}$ and $\theta$ lies in the first quadrant, the value of $\cos \theta$ 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?
If $log_{10} (xy) = 2$, then the value of $xy$ is