Question

Find the coordinates of the points on the x - axis which are at a distance of 5 units from the point (6, 4).

Answer 1

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

Step-by-step explanation: