Mathematics · Coordinate Geometry
Consider a hyperbola H having its centre at the origin and foci on the x-axis. Let C1 be the circle touching the hyperbola H and having its centre at the origin. Let C2 be the circle touching the hyperbola H at its vertex and having its centre at one of its foci. If the areas (in sq. units) of C1 and C2 are 36π and 4π, respectively, then the length (in units) of the latus rectum of H is:
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