An equilateral triangle has one vertex at ($$-$$1, $$-$$1) and another vertex at $$( - \sqrt 3 ,\sqrt 3 )$$. The third vertex may lie on

The equation ax + by + c = 0 represents a straight line

What is the angle between the lines x cos$$\alpha$$ + y sin$$\alpha$$ = a and x sin$$\beta$$ $$-$$ y cos$$\beta$$ = a ?

Consider the following statements

1. For an equation of a line, $$x\cos \theta + y\sin \theta = p$$, in normal form, the length of the perpendicular from the point ($$\alpha$$, $$\beta$$) to the line is $$\left| {\alpha \cos \theta + \beta \sin \theta + p} \right|$$.

The length of the perpendicular from the point ($$\alpha$$, $$\beta$$) to the line $${x \over a} + {y \over b} = 1$$ is $$\left| {{{a\alpha + b\beta - ab} \over {\sqrt {{a^2} + {b^2}} }}} \right|$$.

Which of the above statements is/are correct?