Consider the points P(6, 4) and Q(–5, –3). Draw QS perpendicular to the x-axis. Also draw a perpendicular PT from the point P on QS (extended) to meet y-axis at the point R.

(i) Coordinates of point T is

(a) (-5, 5)

(b) (-5, 4)

(c) (-4, 5)

(d) (4, -5)

(ii) Equation of line PT is

(a) x = 4

(b) x + y = 0

(c) y = 4

(d) x – y = 0

(iii) Distance between points P and Q is

(a) 14 units

(b) 15 units

(c) 13.5 units

(d) None of the above

(iv) If S be any point in the 4th quadrant such that PTQS is the rectangle, then coordinates of point S is

(a) (6, -3)

(b) (5, -4)

(c) (6, -4)

(d) None of the above