Mathematics Homework Help

National Institute of Technology Raipur Normal Lies Dimensional Geometry Questions

 

I’m working on a Geometry question and need guidance to help me study.

Requires a simple easy to understand solution for the below mentioned question.

Show that, any plane whose normal lies on the curve (b + c)x² + (c + a)y² + (a + b)z² = 0 cuts the surface ax² + by² + cz²= 1 in a rectangular hyperbola.