Circle-And-System-Of-Circles Question 381

Question: The equations of the tangents to circle $ 5x^{2}+5y^{2}=1 $ , parallel to line $ 3x+4y=1 $ are

[J & K 2005]

Options:

A) $ -16\sqrt{5} $

B) 20

C) $ 4\sqrt{5} $

D) $ 16\sqrt{5} $

Show Answer

Answer:

Correct Answer: C

Solution:

From $ c=\pm a\sqrt{1+m^{2}} $ , Here, $ a=4,,m=2 $
$ \therefore ,c=\pm 4\sqrt{1+4}=\pm 4\sqrt{5} $ .