Let PQ be a double ordinate of the hyperboal`(x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1`.If O be the centre of the hyperbola and OPQ is an equilateral triangle, then prove that the eccentricity e `gt 2/sqrt(3)`.

PQ is the double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 and O is the centre of the hyperbola. If triangle OPQ is an equilateral triangle, then show that the eccentricity of this hyperbola is e) e^2 >4/3

If e is the eccentricity of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , then e =

If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 such that Delta OPQ is equilateral, O being the centre. Then the eccentricity e satisfies

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 such that O P Q is an equilateral triangle, O being the center of the hyperbola, then find the range of the eccentricity e of the hyperbola.

If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , then e =

If e_1 is the eccentricity of the hyperbola (y^(2))/(b^(2)) - (x^(2))/(a^(2)) = 1 then e_(1) =

The eccentricity of the hyperbola x^2-y^2=4 is

PQ is any double ordinate of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , find the euqation to the locus of the point of trisection of PQ that is nearer to P .

Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is an end of the minor axis. If P B Q is an equilateral triangle, then the eccentricity of the ellipse is 1/(sqrt(2)) (b) 1/3 (d) 1/2 (d) (sqrt(3))/2