Coordinate Geometry

If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3:2, then k equals

  1. 5
  2. 6
  3. 29/5
  4. 11/5

Answer

Point p = (6+2)/5, (12+2)/5

p = (8/5, 14/5)

p = (8/5, 14/5) lies on 2x + y = k

The correct option is B.