ELLIPSE|Aline and an Ellipse#!#Condition of Tangency#!#Point of Contact

Condition of intersection of line and ellipse

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

Position OF point || Director circle || Line and Ellipse || Equation OF tangent || Chord joining two points || Point OF contact,important points

Important points on eccentricity || Rectangular hyperbola || Condition OF tangency || Position OF a point || equation OF tangent

Ellipse Conormal Points and Problem Solving

Prove that in an ellipse,the perpendicular from a focus upon any tangent and the line joining the centre of the ellipse to the point of contact meet on the corresponding directrix.

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

Let P be any point on any directrix of an ellipse. Then the chords of contact of point P with respect to the ellipse and its auxiliary circle intersect at (a)some point on the major axis depending upon the position of point Pdot (b)the midpoint of the line segment joining the center to the corresponding focus (c)the corresponding focus (d)none of these

Find the equation of the chord of contact of the point (3,1) to the ellipse x^2+9y^2=9 . Also find the mid-point of this chord of contact.