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 ______.

Options

• –8

• 3

• –4

• 4

Answer 1

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 –8.

Explanation:

`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.