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Question: The equation of the hyperbola is xy – 4x + 3y = 0 then its asymptotes are xy – 4x+3y = λ where λ =...

The equation of the hyperbola is xy – 4x + 3y = 0 then its asymptotes are xy – 4x+3y = λ where λ =

A

3

B

–6

C

8

D

12

Answer

12

Explanation

Solution

If xy+ax+by = 0 is a hyperbola, then its asymptotes are xy+ax+by+ab =0.

∴ λ = 12