Write the interval in which eccentricity of an ellipse lies.

The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 meets its auxiliary circle at two points, the chord joining which subtends a right angle at the center. Find the eccentricity of the ellipse.

In an ellipse, if the lines joining focus to the extremities of the minor axis form an equilateral triangle with the minor axis, then the eccentricity of the ellipse is :

If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.

The line 2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, touches a fixed ellipse whose exes are the coordinate axes. Q. The eccentricity of the ellipse is

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.

Statement 1 : In an ellipse, the sum of the distances between foci is always less than the sum of focal distances of any point on it. Statement 2 : The eccentricity of any ellipse is less than 1.

An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci, and /_F B F ' a right angle. Then, find the eccentricity of the ellipse.

Write the region of energy in which energy of Paschen series corresponding to hydrogen spectrum lies.

The angle between the line joining the foci of an ellipse to one particular extremity of the minor axis is 90^@ . The eccentricity of the ellipse is :

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) (2sqrt2)/3 (B) sqrt5/3 (C) 8/9 (D) 2/3