BITSAT2024MathematicsHyperbolaActual
The foci of hyperbola 4 x^2-9 y^2-1=0 are
Options
- A( 13 , 0)
- B( 13 6 , 0 )
- C(0, 3 6 )
- DNone of these
Correct answer
B. ( 13 6 , 0 )
Step-by-step solution
Given, Hyperbola =4 x^2-9 y^2-1=0 aligned & x^2 ( 1 4 ) - y^2 ( 1 9 ) =1 & x^2 1 2 ^2 - y^2 1 3 ^2 =1 aligned We know that. if hyperbola is x^2 a^2 - y^2 b^2 =1 . then Eccentricity: e= 1+ b^2 a^2 aligned & and focus ( be , 0)= ( 1 2 1 / 3 3 , 0 )= ( 13 6 , 0 ) aligned