Question

If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is ______.

Options

• 12

• - 6

• - 12

• - 4

Answer 1

If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is - 12.

Explanation:

Mid-point = `((- 6 - 2)/2, (5 + 3)/2)`

`=> ("a"/3, 4) = (- 4, 4)`

`therefore "a"/3 = - 4`

⇒ a = - 12