Find the acute angle between the lines 2x - y + 3 = 0 and x + y + 2 = 0.

Find the locus of the point which is equidistant from (2, –3) and (3, –4).

Show that perpendicular distances of the line x - y + 5 = 0 from origin and from the point P(2, 2) are equal.

Find the combined equation of the given straight lines whose separate equations are 2x + y -1 = 0 and x + 2y -5 = 0.

Find the equation of the circle with centre at origin and radius is 3 units.