Basics of Ellipse#!#Tangent

Auxiliary Circle | Parametric Form Position of Point with respect to Ellipse Tangent and Normal

Line and Ellipse|Tangent to Ellipse|Normal To Ellipse|OMR

Illustration Based upon Basics OF Ellipse Auxiliary Circle and Parametric Equations

Tangent OF Ellipse

Let two foci of an ellipse be S_(1)(2,3) and s_(2)(2,7) and the foot of perpendicular drawn from S1 upon any tangent to the ellipse be (-1,1) . If e be the eccentricity of ellipse and R be the radius of director circle of auxiliary circle of ellipse, then find the value of (eR^(2))/(2)

Tangents of ellipse and hyperbola

Ellipse elements, Tangent and Normal

Let A(3.2) and B(4,7) are the foci of an ellipse and the line x+y-2=0 is a tangent to the ellipse,then the point of contact of this tangent with the ellipse is

ELLIPSE : Basic OF ellipse || Different form OF ellipse || Eccentric angles and Auxiliary circle || Latus rectum

Show that a tangent to an ellipse whose tangent intercepted by the axes is the shortest, is divided at the point of tangency into two parts respectively, is equal to the semi-axes of the ellipse.