Question

Find the midpoint of NP⎯⎯⎯⎯⎯ given N(2a, 2b) and P(2a, 0).

Answer 1

(2a, b )

Explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[
`(1)/(2)`(x₁ + x₂ ),
`(1)/(2)`(y₁ + y₂ ) ]

Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus

midpoint = [
`(1)/(2)`(2a + 2a),
`(1)/(2)`(2b + 0 ) ] = (2a, b )