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

(Last Updated On: September 10, 2019)
Value of a if the distance between the points (a, 2),(3, 4) is 2

Problem: How to find the value of a if the distance between the points (a, 2),(3, 4) is 2.

(a,2),(3,4),

Solutions:

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,
Finally, the value of a is 3.

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