Conic Sections Question 525

Question: The line $ lx+my+n=0 $ will be a tangent to the hyperbola $ \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 $ , if

[MP PET 2001]

Options:

A) $ a^{2}l^{2}+b^{2}m^{2}=n^{2} $

B) $ a^{2}l^{2}-b^{2}m^{2}=n^{2} $

C) $ am^{2}-b^{2}n^{2}=a^{2}l^{2} $

D) None of these

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Answer:

Correct Answer: B

Solution:

It is obvious.