# How do you find equation of ellipse with two vertices V1(7,12) and V2(7, -8), and passing through the point P(1,8)?

##### 1 Answer

#### Explanation:

The equation of an ellipse with centre

Here two vertices are

Hence equation is

As it passes through

or

or

Hence

and

Follwing is the graph with three given points marked.

graph{((4(x-7)^2)/225+(y-2)^2/100-1)((x-1)^2+(y-8)^2-0.04)((x-7)^2+(y-12)^2-0.04)((x-7)^2+(y+8)^2-0.04)=0 [-15, 35, -10, 15]}