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JEE Main 30 January 2024, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let the latus ractum of the hyperbola

\frac{x^2}{9}-\frac{y^2}{b^2}=1

subtend an angle of

\frac{\pi}{3}

at the centre of the hyperbola. If

b^2

is equal to

\frac{l}{m}(1+\sqrt{n})

, where

l

and

m

are co-prime numbers, then

l^2+m^2+n^2

is equal to __________.

Official answer

182

NTA final key.