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Question 311

Find the equation to the hyperbola, whose asymptotes are the straight lines x + 2y + 3 = 0 and 3x + 4y + 5 = 0 and which passes through the point (1, −1). Write down also the equation of the conjugate hyperbola.


a) 8x2 + 5xy + 3y2 + 22x + 14y + 15 = 0 and 8x2 + 5xy + 3y2 + 22x + 14y + 23 = 0

b) 3x2 + 10xy + 8y2 + 14x + 22y + 15 = 0 and 3x2 + 10xy + 8y2 + 14x + 22y + 23 = 0

c) 3x2 + 8xy + 5y2 + 7x + 15y + 15 = 0 and 3x2 + 8xy + 5y2 + 7x + 15y + 23 = 0

d) 8x2 + 8xy + 8y2 + 14x + 15y + 15 = 0 and 8x2 + 8xy + 8y2 + 14x + 15y + 23 = 0

Your Answer

ABCD   CLEAR