An Ellipse Tangent to a Hyperbola

Problem

For what value of $t$ is the ellipse

\frac{x^2}{t+1} + \frac{y^2}{t-1} = 1

tangent to the hyperbola $xy = 1$ ?

Answer

Solution

Difficulty	6/10
Topics	conic sections, analytic geometry

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.