Find a relation between xand y such that the point (X,Y)is equidistant from the point (3,6)and(-3,4)

 

Asked by sangeetasin1984 | 7th Sep, 2019, 09:36: AM

Expert Answer:

Let space straight P left parenthesis straight x comma straight y right parenthesis comma space straight Q left parenthesis 3 comma 6 right parenthesis and space straight T left parenthesis negative 3 comma 4 right parenthesis
PQ equals PT
square root of left parenthesis straight x minus 3 right parenthesis ² plus left parenthesis straight y minus 6 right parenthesis ² end root equals square root of left parenthesis straight x plus 3 right parenthesis ² plus left parenthesis straight y minus 4 right parenthesis ² end root space
Squaring
left parenthesis straight x minus 3 right parenthesis ² plus left parenthesis straight y minus 6 right parenthesis ² equals left parenthesis straight x plus 3 right parenthesis ² plus left parenthesis straight y minus 4 right parenthesis ²
open space the space brackets
3 straight x plus straight y equals 5

Answered by Arun | 7th Sep, 2019, 04:14: PM