Foci `(0,pm13)` the conjugate axis is length 24.

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

The equation of the hyperbola whose foci are (0, pm 13) and length of conjugate axis is 24 is (i) 144y^(2) - 25 x^(2) = 3600 (ii) 144 x^(2) - 25 y^(2) = 3600 (iii) 25x^(2)- 144 y^(2) = 3600 (iv) 25y^(2)-144x^(2)=3600

Find the equations of the hyperbola satisfying the given conditions :Foci (+-5,0) , the transverse axis is of length 8.

Find the eccentricity of the hyperbola, the length of whose conjugate axis is 3/4 of the length of transverse axis.

Find the equation of the hyperbola whose foci are (0, ± 13) and the length of the conjugate axis is 24

Find the equation of the hyperbola whose foci are (0, +-6) and conjugate axis is 2sqrt(11) .

Find the equation of the hyperbola, referred to its axes as the axes of coordinates, whose conjugate axis is 3 and the distance between whose foci is 5,

A hyperbola passes through (3, 3) and the length of its conjugate axis is 8. Find the length of the latus rectum.

An ellipse and hyperbola share common foci F1, and F2. The ellipse has vertices at the origin and (0, 24) and a semi-minor axis of length 11. The hyperbola has a conjugate axis of length 4sqrt(3) . The ellipse and hyperbola intersect at four points. Let P be one of the points of intersection, then value of (P F_1)^2+(P F_2)^2 is. (a) 410 (b) 820 (c) 532 (d) 266

In each of the following find the equations of the hyperbola satisfying he given condition: foc i\ (0,+-13) conjugate axis =24