Vertical major axis; passes through the points (0, 6) and (3, 0)

Question

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.

Vertical major axis; passes through the points (0, 6) and (3, 0)

Answer 1

Step 1 :

The vertical major axis passes through the points .

Standard form of equation for an ellipse with vertical major axis and center at the origin is .

Substitute the point in .

Substitute the point in .

Substitute the values and in .

.

The standard form of the equation of the ellipse is .

Solution :

The standard form of the equation of the ellipse is .