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

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Question

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

easy

Solution

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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