Question

The equation of ellipse has its center at (1,2) a focus at (6,2) and passibg through the point (4,6)

Answer 1

(x-1)2a2+(y-2)2b2=1
This is the equation of ellipse.

(1-6)2+(2-2)2=5So, we have a2-b2=25 .....1As
(4,6) lies on the ellipse , we have
(4-1)2a2+(6-2)2b2=1⇒9b2+16a2=a2b2 ..........2
400 = 0⇒(b2-20)
(b2+20)=0⇒ b2=20 or b2 = -20 rejectedNow, from
(x-1)245+(y-2)220=1

Answer 2

Hope it will help you...