Prove that normal at any point (except vertex) of ellipse does not pass through the focus .

Does the. normal at any point on a circle passes through the centre of the circle ?

Show that the double ordinate of the auxiliary circle of an ellipse passing through the focus is equal to the minor axis of the ellipse .

An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through the point P(4, 7) then If the normal at a variable point on the ellipse meets its axes in Q and R then the locus of the mid-point of QR is a conic with an eccentricity (e') then

An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through the point P(4, 7) then If the normal at a variable point on the ellipse meets its axes in Q and R then the locus of the mid-point of QR is a conic with an eccentricity (e') then

If the normals at an end of a latus rectum of an ellipse passes through the other end of the minor axis, then prove that e^(4) + e^(2) =1.

If the normals at an end of a latus rectum of an ellipse passes through the other end of the minor axis, then prove that e^(4) + e^(2) =1.

A curve passing through the point (1,2) and satisfying the condition that slope of the normal at any abscissa of that point , then the curve also passes through the point

Prove that the tangent to the circle at any point on it is perpendicular to the radius passes through the point of contact.

Find the equation of the ellipse passing through (4, 1) with focus as (+- 3, 0)

Find the equation of the ellipse passing through (4, 1) with focus as (+- 3, 0)