JEE Main2007MathematicsHyperbolaActual
For the hyperbola x^2 ^2 - y^2 ^2 =1 , which of the following remains constant when varies?
Options
- Aeccentricity
- Bdirectrix
- Cabscissae of vertices
- Dabscissae of foci
Correct answer
D. abscissae of foci
Step-by-step solution
a^2= ^2 and b^2= ^2 Coordinates of focii are ( a e, 0) b^2=a^2 (e^2-1 ) e= . Hence abscissae of foci remain constant when varies.