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 |

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

**(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

127