Alg6.6

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Find the value of a if the distance between the points (a,2),(3,4)\, is 2.

The distance between the given points is

\sqrt{(a-3)^2+(2-4)^2}=2\,

Simplifying

\sqrt{a^2+9-6a+4}=2\,

Squaring on both sides,

a^2-6a+13=4\,

a^2-6a+9=0\,

(a-3)^2=0\,

Hence the value of a is 3.

Main Page:Geometry:Basics

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