Circle And System Of Circles Question 152
Question: If the line $ x-2y=k $ cuts off a chord of length 2 from the circle $ x^{2}+y^{2}=3 $ , then k =
Options:
A) 0
B) $ \pm 1 $
C) $ \pm \sqrt{10} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Obviously $ BC=\sqrt{2} $
Hence, $ \pm \frac{0-2.0-k}{\sqrt{1^{2}+{{(-2)}^{2}}}}=\sqrt{2}\Rightarrow k=\pm \sqrt{10} $ .
BETA
