(i) Write down the coordinates of point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.

(ii) Calculate the distance OP, where O is the origin.

(iii) In what ratio does the y-axis divide the line AB?

Find the equations of the diagonals of a rectangle whose sides are x = -1, x = 2, y = -2 and y = 6.

State which one of the following is true :
The straight lines y = 3x - 5 and 2y = 4x + 7 are

(i) parallel

(ii) perpendicular

(iii) neither parallel nor perpendicular.

If 6x + 5y - 7 = 0 and 2px + 5y + 1 = 0 are parallel lines, find the value of p.