Director Circle|Normal To The Ellipse|OMR

Normal To Ellipse

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

Director Circle and equation

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

If normal at any point P to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) meets the axes at A and B such that PA:PB=1:2, then the equation of the director circle of the ellipse is

Line and parabola || Length OF chord || Tangent to parabola || Director circle || Normals to parabola

Equation of director circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the equation of the ellipse whose auxilliary circle is the director circle of the ellipse x^2/36+y^2/13=1 and the length of a latus rectum is 2 units.

An ellipse is sliding along the coordinate axes. If the foci of the ellipse are (1,1) and (3,3), then the area of the director circle of the ellipse (in square units) is 2pi (b) 4 pi (c) 6 pi (d) 8 pi