Question

Write the coordinate of a point p on x- axis which is equidistant from the points a (-2,0) and b(6,0) 0

Answer 1

Answer:

let the point be p(X,0)

[as,the point lies on the X axis so ..y=0]

now... according to the problem..

point p on x- axis which is equidistant from the points a (-2,0) and b(6,0)

$= > \sqrt{( x + 2) {}^{2} + (0 - 0) {}^{2} } = \sqrt{(6 - x) {}^{2} + (0 - 0) {}^{2} } \\ = > x + 2 = 6 - x \\ = > 2x = 4 \\ = > x = 2 \\ therefore \:t he \: point \: is\: = (2,0)$