The length of the transverse axis along the x-axis of a hyperbola centered at the origin is 7, and it passes through the point (5, -2). The equation of the hyperbola is:

The equation of the hyperbola referred to its axes of coordinates whose length of latus rectum is 4 and eccentricity is 3 is:

Let P(10, 2√15) be a point on the hyperbola x2a2 - y2b2 = 1, whose foci are S and S'. If the length of its latus rectum is 8, then the square of the area of ΔPSS' is equal to: