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 |
(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,