I need help pls :(((

Question

It has one co-vertex at (6,1) and one focus at (1,13). Get the general and standard from of the ellipse. Must have solution for this

Answer 1

If you plot the points and draw a vertical line thru (1,13) and a horizontal line thru (6,1) you will find they intersect at (1,1). This is the center.

The distance from the center to the co-vertex is 5. This gives b = 5

The distance from the center to the focus is 12. This gives c = 12.

You need to find b using a² - b² = c². so a² - 25 = 144. This gives a = 13

The equation will be (y - 1)²/ 169 + (x - 1)²/ 25 = 1