Find The Asymptotes Of The Hyperbola xy – 3y – 2x = 0.

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Find the asymptotes of the hyperbola xy – 3y – 2x = 0.


Correct option is

x – 3 = 0 and y – 2 = 0


Since equation of a hyperbola and its asymptotes differ in constant terms only, 

∴ Pair of asymptotes is given by 


where λ is any constant such that it represents two straight lines. 



From (i), the asymptotes of given hyperbola are given by 


∴ Asymptotes are x – 3 = 0 and y – 2 = 0. 



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