Let S and S' are the foci of an ellipse whose eccentricity is `(1)/(sqrt(2))`,B and B' are the ends of minor axis then SBS'B' form is

"S and "S^(')" are the foci of an ellipse whose eccentricity is "(1)/(sqrt(2))"."B" and "B^(')" are the ends of minor axis then "SBS'B'" is (1) Parallelogram (2) Rhombus (3) Square (4) Rectangle"

Let " S,S' " be the foci of an ellipse.If " /_BSS^(1)=theta " then its eccentricity is (where 'B' is an end point of minor axis)

If S and S' are two foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and B is and end of the minor axis such that Delta BSS' is equilateral,then write the eccentricity of the ellipse.

Let the distance between a focus and the corresponding directrix of an ellipse be 8 and the eccentricity be (1)/(2). If the length of the minor axis is k, then (sqrt(3)k)/(2) is

Find the equation of the ellipse whose foci are the points (1, 2) and (-3,2), and the length of the minor axis is 4sqrt3 .

Let frac{x^2}{a^2}+ frac{y^2}{b^2}=1 , a gt b be an ellipse, whose eccentricity is frac{1}{sqrt 2} and the length of the latus rectum is sqrt (14) . Then the square of the eccentricity of frac{x^2}{a^2}- frac{y^2}{b^2}=1 is

Let S and s' be the foci of an ellipse and B be one end of its minor axis . If SBS' is a isosceles right angled triangle then the eccentricity of the ellipse is

Let S and S'' be the fociof the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is e. P is a variable point on the ellipse. Consider the locus the incenter of DeltaPSS'' The eccentricity of the locus of the P is