Write down the equation of the line passing through (-3, 2) and perpendicular to the line 3y = 5 - x.

Find the equation of the line perpendicular to the line joining the points A(1, 2) and B(6, 7) and passing through the point which divides the line segment AB in the ratio 3 : 2.

A and B are two points on the x-axis and y-axis respectively.

(a) Write down the co-ordinates of A and B.

(b) P is a point on AB such that AP : PB = 3 : 1. Using section formula find the coordinates of point P.

(c) Find the equation of a line passing through P and perpendicular to AB.

A straight line passes through P(2, 1) and cuts the axes in points A, B. If BP : PA = 3 : 1.

Find :

(i) the coordinates of A and B.

(ii) the equation of the line AB.