If the point P(6, -3) lies on the line segment joining points A(4, 2) and B(8, 4), then:

1. AP = $\dfrac{3}{4}$ AB

2. AP = $\dfrac{1}{4}$ AB

3. PB = $\dfrac{1}{3}$ AB

4. AP = $\dfrac{1}{2}$ AB

The mid-point of the line segment joining the points (-3, 2) and (7, 6) is:

1. (-2, -4)

2. (-2, 4)

3. (2, 4)

4. (4, 2)

If (3, -6) is the mid-point of the line segment joining (0, 0) and (x, y), then the point (x, y) is:

1. (-3, 6)

2. (6, -6)

3. (6, -12)

4. $\Big(\dfrac{3}{2}, -3\Big)$

Point $P\Big(\dfrac{a}{8}, 4\Big)$ is the mid-point of the line segment joining the points A(-5, 2) and B(4, 6). Then, the value of a is:

1. -8

2. -4

3. 2

4. 4