The co-ordinates of points on the x-axis which are at a distance of 5 units
from the point (6, -3). Find the points.

Asked by hammadwasim2008 | 7th Sep, 2020, 10:23: AM

Expert Answer:

begin mathsize 16px style Let space the space required space point space be space left parenthesis straight x comma space 0 right parenthesis.
rightwards double arrow square root of open parentheses 6 minus straight x close parentheses squared plus open parentheses negative 3 minus 0 close parentheses squared end root space equals space 5
rightwards double arrow open parentheses 6 minus straight x close parentheses squared plus space 9 space equals 25
rightwards double arrow 6 minus space straight x space equals space plus-or-minus 4
rightwards double arrow straight x space equals space 10 space or space straight x space equals space 2
So comma space the space required space point space is space left parenthesis 10 comma space 0 right parenthesis space or space left parenthesis 2 comma space 0 right parenthesis. space end style

Answered by Yasmeen Khan | 7th Sep, 2020, 10:58: AM