JEE Main & Advanced
Mathematics
Conic Sections
Question Bank
Numerical Value Type Questions - Hyperbola
question_answer
A tangent drawn to hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] at \[P\left( \frac{\pi }{6} \right)\] forms a triangle of area \[3{{a}^{2}}\] square units, with coordinate axes, then the square of its eccentricity.