Question

Find the value of m if the distance between the points (m , -4) and (3 , 2) is 3`sqrt 5` units.

Answer 1

Let the points (m , -4) and (3 , 2) be A amd B respectively.

Given AB = `3 sqrt 5` units

`sqrt (("m" - 3)^2 + (-4-2)^2) =3 sqrt 5`

squaring both sides

m² - 6m + 9 + 36 = 45

⇒ m² - 6m = 0

⇒ m (m - 6) = 0

⇒ m = 0 or 6.