BITSAT Mathematics Question (2024) — Solution

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