P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 50°, find angle UST.

3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0