If the sum of distances from a point P on two mutually perpendicular straight lines is 1 unit, then the locus of P is a/an

If the three points (3q, 0) (0, 3p) and (1, 1) are collinear then which one is true?

The equations $$y = \pm \sqrt {3x} $$, y = 1 are the sides of

The equations of the lines through (1, 1) and making angles of 45$$^\circ$$ with the line x + y = 0 are