Find the equation of the locus which is at 5 units distance from the point A(3,_2)

Asked by Jagannadhameshwar5 | 15th Jul, 2021, 09:17: PM

Expert Answer:

Let P ( x, y ) be on the locus . 
 
Distance d between point A ( 3, -2 ) and P (x, y ) is given as
 
begin mathsize 14px style d space equals space square root of left parenthesis x minus 3 right parenthesis squared space plus space left parenthesis y plus 2 right parenthesis squared end root space equals space 5 end style
begin mathsize 14px style left parenthesis x minus 3 right parenthesis squared space plus space left parenthesis y plus 2 right parenthesis squared space equals space space 5 squared space equals space 25 end style
Then locus :-  x2 + y2 -6x +4y -12 = 0

Answered by Thiyagarajan K | 17th Sep, 2021, 08:23: PM