Circle And System Of Circles Question 146
Question: The equations of the tangents to the circle $ x^{2}+y^{2}=36 $ which are inclined at an angle of $ 45^{o} $ to the x-axis are
Options:
A) $ x+y=\pm \sqrt{6} $
B) $ x=y\pm 3\sqrt{2} $
C) $ y=x\pm 6\sqrt{2} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ y=mx+c $ is a tangent, if $ c=\pm a\sqrt{1+m^{2}} $ , where $ m=\tan 45^{o}=1 $
$ \therefore \ $ The equation is $ y=x\pm 6\sqrt{2} $ .
BETA
