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

The length of subnormal at (4,2) to an ellipse is 3 .Then its eccentricity is

The length of the tangent from the point (3,-5) to the ellipse 4x^(2)+3y^(2)=12 is given by

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))

An ellipse is inscribed in a circle and a point within the circle is chosen at random.If the probability that this point lies outside the ellipse is (2)/(3) then the eccentricity of the ellipse is: (A)(2sqrt(2))/(3) (B) (sqrt(5))/(3) (C) (8)/(9)(D)(2)/(3)

The length of subtangent to the curve x^(2)+xy+y^(2)=7 at the point (1,-3) is

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 length of the subtangent at any point on the curve y=be^(x/3) is

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

Length OF subtangent & Subnormal , Important points