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The centre of a rectangular hyperbola lies on the line . If one of the asymptotes is , then the other asymptotes is

Hence, equation of other asymptotes is

a)

b)

c)

d)

None of these



Question ID - 55903 | SaraNextGen Top Answer

The centre of a rectangular hyperbola lies on the line . If one of the asymptotes is , then the other asymptotes is

Hence, equation of other asymptotes is

a)

b)

c)

d)

None of these

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

The asymptotes of a rectangular hyperbola are perpendicular to each other

Given one asymptote,

Let the other asymptote be

We also know that the asymptotes pass through centre of the hyperbola. Therefore, the line and the asymptotes must be concurrent

Thus, we have

127 votes


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