Conic Sections Question 346

Question: If the line $ y=2x+c $ be a tangent to the ellipse $ \frac{x^{2}}{8}+\frac{y^{2}}{4}=1 $ , then $ c= $

[MNR 1979; DCE 2000]

Options:

A) $ \pm 4 $

B) $ \pm 6 $

C) $ \pm 1 $

D) $ \pm 8 $

Show Answer

Answer:

Correct Answer: B

Solution:

$ c=\pm \sqrt{b^{2}+a^{2}m^{2}}=\pm \sqrt{4+8.4}=\pm 6 $ .