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A hyperbola is the set of all points P(x, y) in theplane such that |PF_1-PF_2|=2a.Again F_1 and F_2 arefocus points.This time the difference of these distancesremain a constant at 2a.The explanation is similar tothat of the ellipse.Since the ellipse is the sum of thedistances and the hyperbola is the difference of thedistances,the equations are very similar.They differ on-ly in the sign and the longest side for a hyperbola is c.(Remember for the ellipse it was a)
A hyperbola is the set of all points P(x, y) in theplane such that |PF_1-PF_2|=2a.Again F_1 and F_2 arefocus points.This time the difference of these distancesremain a constant at 2a.The explanation is similar tothat Of the ellipse.Since the ellipse is the sum of thedistances and the hyperbola is the difference of thedistances,the equations are very similar.They differ on-ly in the sign and the longest side for a hyperbola is c.(Remember for the ellipse It was a)