If a variable line has its intercepts on the coordinate axes where are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle , where |
|||||||

a) |
1 |
b) |
2 |
c) |
3 |
d) |
cannot be decided |

If a variable line has its intercepts on the coordinate axes where are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle , where |
|||||||

a) |
1 |
b) |
2 |
c) |
3 |
d) |
cannot be decided |

1 Answer

127 votes

**(b)**

Since and are eccentricities of a hyperbola and its conjugate hyperbola, therefore

The line passing through the points and is

It is tangents to the circle

Hence,

127 votes

127