Conic Sections Question 75

Question: If the line $ y=mx+c $ touches the ellipse $ \frac{x^{2}}{b^{2}}+\frac{y^{2}}{a^{2}}=1 $ , then $ c= $

[MNR 1975; MP PET 1994, 95, 99]

Options:

A) $ \pm \sqrt{b^{2}m^{2}+a^{2}} $

B) $ \pm \sqrt{a^{2}m^{2}+b^{2}} $

C) $ \pm \sqrt{b^{2}m^{2}-a^{2}} $

D) $ \pm \sqrt{a^{2}m^{2}-b^{2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

Since, here $ a $ and $ b $ are interchanged.