Circle And System Of Circles Question 66
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} $ .