A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.

Explanation

`2a=10 =a=5`


`2x=8=c=4`


`:. b (sqrt(a^2-c^2))` = ` sqrt (25-16)`= `b=3`


Therefore the required equation is,


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