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BodhiAI
Nov. 13, 2019

Eccentric Angle,Co-normal Points & Properties:

Problem Solving Trick

All the equations and/or expression for Ellipse are also valid for Hyperbola, provided if we replace b2 by -b2.

Number of Normals

In general, four normals can be drawn to the hyperbola from any point and if be the eccentric angles of these four co-normal points.

Problem Solving Trick(s)

a) Sum of the eccentric angles of four co-normal points is an odd multiple of π i.e. 

b)If α,β,γ are the eccentric angles of three co-normal points on the hyperbola the normals at which are concurrent, then