One of the latus recta of the hyperbola \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 subtends an angle 2 {\Tan}^{-1} (\frac{3}{2}) at the centre of the hyperbola. If {\b}^2=36 and e is the eccentricity of the given hyperbola, then \sqrt{ {\a}^2+ {\e}^2}= [AP EAPCET 21 May 2025 S1]

Hyperbola

Section: Mathematics

Question : 15 of 34

Marks: +1, -0

One of the latus recta of the hyperbola ‌

−‌

=1 subtends an angle 2Tan−1(‌

) at the centre of the hyperbola. If b2=36 and e is the eccentricity of the given hyperbola, then √a2+e2=

[AP EAPCET 21 May 2025 S1]

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