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(14 pts) Hyperbola with perpendicular asymptotes are called equilateral or rectangular hy- perbola. Lines are perpendicular when the product of their slopes is equal

(14 pts) Hyperbola with perpendicular asymptotes are called equilateral or rectangular hy- perbola. Lines are perpendicular when the product of their slopes is equal to -1. Is this an equilateral hyperbola? For full credit you must show all your work and provide clear rationale for your answer. 6x2-6y2-12x+48y+6=0

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