If `S_(1)` and `S_(2)` are the foci of the hyperbola whose length of the transverse axis is 4 and that of the conjugate axis is 6, and `S_(3)` and `S_(4)` are the foci of the conjugate hyperbola, then the area of quadrilateral `S_(1)S_(3)S_(2)S_(4)` is

If S_1a n dS_2 are the foci of the hyperbola whose length of the transverse axis is 4 and that of the conjugate axis is 6, and S_3a n dS_4 are the foci of the conjugate hyperbola, then the area of quadrilateral S_1S_3S_2S_4 is 24 (b) 26 (c) 22 (d) none of these

find the equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13.

Find the eccentricity of the hyperbola with foci on the x-axis if the length of its conjugate axis is (3/4)^("th") of the length of its tranverse axis.

If the normal at a point P to the hyperbola meets the transverse axis at G, and the value of SG/SP is 6, then the eccentricity of the hyperbola is (where S is focus of the hyperbola)

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is : (1) 4/3 (2) 4/(sqrt(3)) (3) 2/(sqrt(3)) (4) sqrt(3)

The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is

In each of the find the equations of the hyperbola satisfying the given conditions. Foci (0,+-13) , the conjugate axis is of length 24 .

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is