The Cartesian equation of a plane which passes through the points $$\mathrm{A}(2,2,2)$$ and making equal nonzero intercepts on the co-ordinate axes is

If $$y=x \tan y$$, then $$\frac{d y}{d x}=$$

$$\int_\limits0^\pi \frac{1}{4+3 \cos x} d x=$$

The distance between the lines $$3 x+4 y=9$$ and $$6 x+8 y=15$$ is