In each of the following, find the equation for the ellipse that satisfies the given conditions:
Ends of major axis (0, ), ends of minor axis ( 1, 0)

Question

In each of the following, find the equation for the ellipse that satisfies the given conditions:Ends of major axis (0,  ), ends of minor axis ( 1, 0)

Philoid · Accepted Answer

Ends of major axis (0,), ends of minor axis ().

Here, the major axis is along the x-axis.

Therefore, the equation of the ellipse will be of the form =1, where a is the semi-major axis.

Accordingly, a= and b = 1.

Thus, the equation for the ellipse = 1 or, = 1.