JEE Main & Advanced
Mathematics
Conic Sections
Question Bank
Numerical Value Type Questions - Hyperbola
question_answer
If the foci of the ellipse \[\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] and the hyperbola \[\frac{{{x}^{2}}}{144}-\frac{{{y}^{2}}}{81}=\frac{1}{25}\] coincide, then find the value \[{{b}^{2}}.\]