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

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 P C meets the ellipse at Adot The angle between P S and tangent a A is alpha . Then alpha is equal to (a) tan^(-1)e (b) pi/2 (c) tan^(-1)(1-e^2) (d) none of these

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 P C meets the ellipse at Adot The angle between P S 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

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 at A is alpha . Then alpha is equal to

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

Let 'S' be the focus and G be the point where the normal at P meets the axis of the ellipse then SG = eSP

An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the corresponding directrix x+6=0 . The equation of the ellipse is

An ellipse with the eccentricity e = 1/2 has a focus at (0, 0) and the corresponding directix is x+6=0. The equation of the ellipse is

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