Mathematics

Mathematics

Problem

A conic

C

satisfies the differential equation

(1+y^2)dx - xy\,dy = 0

and passes through the point

(1, 0)

. An ellipse

E

is confocal with

C

and has eccentricity

\sqrt{\left(\frac{2}{3}\right)}

. Find the equation of the ellipse

E

. a.

\frac{x^2}{3} + \frac{y^2}{1} = 1

b.

\frac{x^2}{1} + \frac{y^2}{3} = 1

c.

\frac{x^2}{4} + \frac{y^2}{9} = 1

d.

\frac{x^2}{9} + \frac{y^2}{4} = 1

Browse the problem library