Question

The mid-point of the line segment joining the points (−1, 3) and `(8, 3/2 )` is ______. 

विकल्प

• `(7/2, −3/4)`

• `(7/2, 9/2)`

• `(9/2, −3/4)`

• `(7/2, 9/4)`

Answer 1

The mid-point of the line segment joining the points (−1, 3) and `(8, 3/2 )` is `bbunderline((7/2, 9/4)`. 

Explanation:

The points are, (−1, 3) and `(8, 3/2 )` 

Using mid-point formula,

∴ (x, y) = `((−1 + 8)/2, (3 + 3/2)/2)`

∴ (x, y) = `(7/2, 9/4)`

So, `(7/2, 9/4)` is the required mid-point.