Question

Find the mid-point of the line segment joining the points

(a, b) and (a + 2b, 2a – b)

Answer 1

Mid–point of a line = `((x_1 + x_2)/2, (y_1 + y_2)/2)`

Mid–point of AB = `(("a" + "a" + 2"b")/2, ("b" + 2"a" - "b")/2)`

= `((2"a" + 2"b")/2, (2"a")/2)`

= `(2(("a" + "b"))/2, "a")`

= (a + b, a)