The ratio of ordinates of a point on ellipse and its corresponding point on auxiliary circle is `(2sqrt(2))/(3)` then its eccentricity is

If the ratio of the ordinate of a point on ellipse and its corresponding point on auxiliary circle is (2sqrt(2))/(3) then its eccentricity is

The ratio of the area of triangle inscribed in ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 to that of triangle formed by the corresponding points on the auxiliary circle is 0.5. Then,find the eccentricity of the ellipse.(A) (1)/(2) (B) (sqrt(3))/(2) (C) (1)/(sqrt(2))(D)(1)/(sqrt(3))

P is the point on the ellipse isx^2/16+y^2/9=1 and Q is the corresponding point on the auxiliary circle of the ellipse. If the line joining the center C to Q meets the normal at P with respect to the given ellipse at K, then find the value of CK.

P is a point on the ellipse x^2/(25)+y^2/(9) and Q is corresponding point of P on its auxiliary circle. Then the locus of point of intersection of normals at P" & "Q to the respective curves is

The length of subtangent corresponding to the point (3,12/5) on the ellipse is 16/3. Then the eccentricity is

The point of intersection of the tangents at the point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=(a)/(e) (b) x=0 (c) y=0 (d) none of these

P is a point on the ellipse E:x^2/a^2+y^2/b^2=1 and P' be the corresponding point on the auxiliary circle C: x^2+y^2=a^2 . The normal at P to E and at P' to C intersect on circle whose radius is

An ellipse is inscribed in its auxiliary circle and a point within the circle is chosen at random. If p is the probability that this point lies outside the ellipse and inside the auxiliary circle. Then 8p is equal to (where eccentricity of the ellipse is sqrt3/2 ) (A) 3 (B) 4 (C) 6 (D) 1

An ellipse is inscribed in its auxiliary circle and a point within the circle is chosen at random. If p is the probability that this point lies outside the ellipse and inside the auxiliary circle. Then 8p is equal to (where eccentricity of the ellipse is sqrt3/2 ) (A) 3 (B) 4 (C) 6 (D) 1

The co-ordinates of a focus of an ellipse is (4,0) and its eccentricity is (4)/(5) Its equation is :