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