Let the latus rectum 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____ [30-Jan-2024 Shift 1]

JEE Main 30-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

Let the latus rectum of the hyperbola ‌

−‌

=1 subtend an angle of ‌

at the centre of the hyperbola. If b2 is equal to ‌

(1+√n), where l and m are co-prime numbers, then l2+m2+n2 is equal to____

[30-Jan-2024 Shift 1]

Go to Question:

Prev Question

Next Question