A circle intersects an ellipse `x^2/a^2+y^2/b^2=1` precisely at three points `A, B, C` as shown in the figure. AB is a diameter of the circle and isperpendicular to the major axis of the ellipse. If the eccentricity ofthe ellipse is `4/5`, find the length of the diameter AB in terms of a.

A circle intersects an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 precisely at three points A,B,C as shown in the figure.AB is a diameter of the circle and isperpendicular to the major axis of the ellipse. If the eccentricity oflipse is (4)/(5), find the length of the diameter AB in terms of a.

The line x=2y intersects the ellipse (x^(2))/4+y^(2)=1 at the points P and Q . The equation of the circle with PQ as diameter is

If 2y=x and 3y+4x=0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is

The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at the points P and Q . The equation of the circle with pq as diameter is _

if 2y = x and 3y + 4x=0 are the equations of a pair of conjugate diameters of an ellipse , then the eccentricity of the ellipse , is

if 2y = x and 3y + 4x=0 are the equations of a pair of conjugate diameters of an ellipse , then the eccentricity of the ellipse , is