#### Question

If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is

**A.**−8**B.**3**C.**−4**D.**4

#### Solution

`P(a/2,4)`is the mid-point of the line segment joining points A (−6, 5) and B (−2, 3).

∴ Coordinates of point `P= (-6+(-2))/2,(-8/2,8/2)=(-4,)`

`P=(a/2,4)` [Given]

`therefore a/2=-4`

`rArr a=-8`

Thus, the value of *a* is −8.

The correct answer is A.

Is there an error in this question or solution?

Solution If P ( a 2 , 4 ) is the Mid-point of the Line-segment Joining the Points a (−6, 5) and B(−2, 3), Then the Value of a is Concept: Coordinate Geometry Examples and Solutions.