(a) Suppose that a hyperbola has semifocal axis a and semiconjugate axis b. Then for all points on the hyperbola, the difference of the distance to the farther focus minus the distance to the closer focus is equal to______ . (b) The two standard equations of a hyperbola with semifocal axis a and semiconjugate axis b are and ______. (c) Suppose that a hyperbola in standard position has semifocal axis a, semiconjugate axis b, and foci (±c,0). Then c may be obtained from a and b by the equation c = ______ . The equations of the asymptotes of this hyperbola are y = ± ______.

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