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BodhiAI
Nov. 13, 2019

Equation Of Nornmal to Hyperbola in VariousEquation of Normal in Different Forms A. Point Form Let be any point on the hyperbola then the equation of Normal through the point P on the curve is Note: For reasoning see condition of Normality. B. Slope:

Equation of Normal in Different Forms 

A. Point Form 

Let be any point on the hyperbola then the equation of Normal through the point P on the curve is

Note: For reasoning see condition of Normality. 

B. Slope Form 

The line y = mx + c is the equation of normal to the hyperbola if 

{Condition of Normality}

Hence, the equation of normal (in slope form) is given by 

Note: For reasoning see condition of Normality.

C. Parametric Form 

If P are the parametric coordinates of any point on the hyperbola for any value of θ then 

    {Substituting the value of P in the equation of Normal in Point Form}