Let P be any point on a directrix of an ellipse of eccentricity e, S be the corresponding focus and C be the centre of the ellipse. The line PC meets the ellipse at A. The angle between PS and tangent at A is `alpha`. Then `alpha` is equal to

Let P be any point on a directrix of an ellipse of eccentricity e,S be the corresponding focus,and C the center of the ellipse.The line PC meets the ellipse at A. The angle between PS and tangent a A is alpha. Then alpha is equal to tan^(-1)e( b) (pi)/(2)tan^(-1)(1-e^(2))( d) none of these

The y-axis is the directrix of the ellipse with eccentricity e=(1)/(2) and the corresponding focus is at (3,0), equation to its auxilary circle is

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the centre of the ellipse, then

If the lines joining the foci of an ellipse to an end of its minor axis are at right angles , then the eccentricity of the ellipse is e =

Eccentricity of the ellipse whose latus rectum is equal to the distnce between two focus points, is

If alpha, beta are the eccentric angles of the extermities of a focal chord of an ellipse, then eccentricity of the ellipse is

IF the distance between a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2 , then length of the minor axis is

If the distance betweent a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2, then length of the minor axis is