Using analytic geometry, find the coordinates of the point on the x ax

Pearl Carney

Pearl Carney

Answered question

2021-11-20

Using analytic geometry, find the coordinates of the point on the x axis which is equidistant from A(5, 8) and B(3, 4)

Answer & Explanation

Opeance1951

Opeance1951

Beginner2021-11-21Added 26 answers

Step 1
Given, A(5, 8), B(3, 4)
Let, equidistent point, p(x, 0)
So, using distance formula:
(x5)2+(8)2=(x+3)2+(4)2
Both Side:
x2+2510x+64=x2+9+6x+16
25+64916=10x+6x
16x=64
x=4
Coordinate is (4, 0)

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