A point on the ellipse `x^(2)/16 + y^(2)/9 = 1` at a distance equal to the mean of lengths of the semi - major and semi-minor axis from the centre, is

If the length of the major axis intercepted between the tangent and normal at a point P (a cos theta, b sin theta) on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 is equal to the length of semi-major axis, then eccentricity of the ellipse is

If the length of the major axis intercepted between the tangent and normal at a point P (a cos theta, b sin theta) on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 is equal to the length of semi-major axis, then eccentricity of the ellipse is

If the length of the major axis intercepted between the tangent and normal at a point P (a cos theta, b sin theta) on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 is equal to the length of semi-major axis, then eccentricity of the ellipse is

The foci of an ellipse are located at the points (2,4) and (2,-2) . The point (4,2) lies on the ellipse. If a and b represent the lengths of the semi-major and semi-minor axes respectively, then the value of (ab)^(2) is equal to :

If C is the center of the ellipse 9x^(2)+16y^(2)=144 and S is a focus,then find the ratio of CS to the semi-major axis.

Let P be a point on the ellipse (x^(2))/(16) + (y^(2))/(9) = 1 . If the distance of P from centre of the ellipse be equal with the average value of semi major axis and semi minor axis, then the coordinates of P is _

If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus, then find the ratio of C S to the semi-major axis.

If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus, then find the ratio of C S to the semi-major axis.

C is the centre of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 and S is one of the foci. The ratio of C S to semi major axis is