Find the equation of the ellipse with Fock (6,-1) and (14,-1) am with a vertex at (1,-1). Hint: a vertex is located at one end of the major axis

Question

derive the equation of an ellipse given foci

Answer 1

center (10,-1)

c=4

a=9

b=sqr(81-16)=sqr65

(x-10)^2/65+(y+1)^2/81 =1