If the normals at the points A, B, C, D of an ellipse meet in a point O, then `SA.SC.SD` is equal to(where S is one of the foci)

S and T are the foci of an ellipse and B is an end point of the minor axis . IF /_\STB is equilateral then e =

The normal meet the parabola y^(2)=4ax at that point where the abscissa of the point is equal to the ordinate of the point is

If (4, 0) and (-4, 0) are the foci of an ellipse and the semiminor axis is 3, then the ellipse passes thrugh which one of the following points ?

If P (theta) is a point on the ellipse E (a gt b) , whose foci are S and S', then SP.S'P =

If P is a point on the ellipse (x^(2))/(16)+y'(20)=1, whose foci are S and S' Then PS+PS' is equal to

S and T are the foci of an ellipse and B is the end point of the minor axis. If STB is equilateral triangle, the eccentricity of the ellipse is

Which of the following is/are true about the ellipse x^2+4y^2-2x-16 y+13=0? (a) the latus rectum of the ellipse is 1. (b) The distance between the foci of the ellipse is 4sqrt(3)dot (c) The sum of the focal distances of a point P(x , y) on the ellipse is 4. (d) Line y=3 meets the tangents drawn at the vertices of the ellipse at points P and Q . Then P Q subtends a right angle at any of its foci.