The co-ordinates of the foot of perpendicular drawn from origin to the plane $2 x-y+5 z-3=0$ are $\ldots \ldots$

$$\int \frac{\sqrt{x^2-a^2}}{x} d x=\ldots \ldots$$

The maximum value of $z=9 x+11 y$ subject to $3 x+2 y \leq 12,2 x+3 y \leq 12, x \geq 0, y \geq 0$ is $\ldots \ldots$.

$$\int_0^4 \frac{1}{1+\sqrt{x}} d x=\ldots \ldots$$