The equation of the line, when the portion of it intercepted between the axes is divided by the point (2, 3) in the ratio of 3 : 2, is

What is the distance between the straight lines 3x + 4y = 9 and 6x + 8y = 15 ?

What is the distance between the points $$P(m\cos 2\alpha ,m\sin 2\alpha )$$ and $$Q(m\cos 2\beta ,m\sin 2\beta )$$ ?

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