Find a point on the x-axis, which is equidistant from the points (5, 4) and (2, 3).
(143,0)
Let point (x,0) is the point on the x-axis that is equidistant from the points (5, 4) and (2, 3).
Accordingly,
√(5−x)2+(4−0)2=√(2−x)2+(3−0)2
Squaring on both sides, we get,
52+x2−10x+16=4+x2−4x+9
41−10x=13−4x
−6x=−28
x=143
Thus, required point on the x-axis is (143,0)