Find the equation to the hyperbola, referred to its axes as axes of coordinates,
the distance between whose foci is 16 and whose eccentricity is `sqrt 2`.

The equation of hyperbola referred to its axes as axes of coordinate whose distance between the foci is 20 and eccentricity equals sqrt2 is

Find the equation to the hyperbola referred to its axes as coordinate axes whose conjugate axis is 7 and passes through the point (3,-2).

Find the equation of the ellipse (referred to its axes as the axes of x and y, respectively) whose foci are (+-2,0) and eccentricity is (1)/(2)

Write the equation of the hyperbola of eccentricity sqrt(2) if it is known that the distance between its foci is 16.

Find the standard equation of hyperbola in each of the following cases: (i) Distance between the foci of hyperbola is 16 and its eccentricity is sqrt2. (ii) Vertices of hyperbola are (pm4,0) and foci of hyperbola are (pm6,0) . (iii) Foci of hyperbola are (0,pmsqrt(10)) and it passes through the point (2,3). (iv) Distance of one of the vertices of hyperbola from the foci are 3 and 1.

Find the equation of hyperbola: whose axes are coordinate axes and the distances of one of its vertices from the foci are 3 and 1

Find the equation of the ellipse , referred to is principal axes , for which distance between foci= minor axis, and latus rectum = 10 .

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