#### (i) In what ratio does the point (5, 4) divide the line segment joining the points (2, 1) and (7 ,6)?

(ii) In what ratio does the point (-4, b) divide the line segment joining the points P (2, -2), Q (-14, 6)? Hence find the value of b.

**Solution:**

#### The line segment joining A (2, 3) and B (6, -5) is intercepted by the x-axis at the point K. Write the ordinate of the point k. Hence, find the ratio in which K divides AB. Also, find the coordinates of the point K.

**Solution:**

**More Solutions:**

- The reflection of the point P (-2, 3) in the x-axis is
- The reflection of the point P (1, -2) in the line y = -1 is
- The point P (4, -7) on reflection in x-axis is mapped onto P’.
- A (4, -1), B (0, 7) and C (-2, 5) are the vertices of a triangle.
- The points A (4, -11), B (5, 3), C (2, 15), and D (1, 1).
- Find the coordinates of the mid-point of the line segments.