Auxiliary circle and eccentric angle

Ellipse - Basic questions || Auxiliary circle || Eccentric angle || Position OF point

Hyperbola- Auxiliary circle || Eccentric angle || Position OF point || Equation OF tangent || Equation OF chord at A(α),B(β)

Auxiliary Circle & Eccentricity Angle|| Chord Joining p(α),( β)|| Rectangular hyperbola

Illustration Based upon Basics OF Ellipse Auxiliary Circle and Parametric Equations

Basic OF Hyperbola || Equation And Parameters Auxiliary circle and Parametric form

If the chords of contact of tangents drawn from P to the hyperbola x^(2)-y^(2)=a^(2) and its auxiliary circle are at right angle, then P lies on

If the chords of contact of tangents drawn from P to the hyperbola x^(2)-y^(2)=a^(2) and its auxiliary circle are at right angle, then P lies on

The length of the tangent of the ellipse x^2/25+y^2/16=1 intercepted between auxiliary circle such that the portionof the tangent intercepted between the auxiliary circle subtends equal angles at foci is

The length of the tangent of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 intercepted between auxiliary circle such that the portionof the tangent intercepted between the auxiliary circle subtends equal angles at foci is

The length of the tangent of the ellipse x^2/25+y^2/16=1 intercepted between auxiliary circle such that the portionof the tangent intercepted between the auxiliary circle subtends equal angles at foci is