Circle And System Of Circles Question 54
Question: The equation to the tangents to the circle $ x^{2}+y^{2}=4 $ , which are parallel to $ x+2y+3=0 $ , are
[MP PET 2003]
Options:
A) $ \sqrt{13} $
B) $ \sqrt{38} $
C) $ 2\sqrt{2} $
D) $ 2\sqrt{13} $
Show Answer
Answer:
Correct Answer: A
Solution:
Length of the tangent $ =\sqrt{4^{2}+5^{2}+2\cdot 1\cdot 4+2,(-3)\cdot 5-6}=\sqrt{13} $ .