Circle And System Of Circles Question 34
The line $ ax+by+c=0 $ is a normal to the circle $ x^{2}+y^{2}=r^{2} $ . The portion of the line $ ax+by+c=0 $ intercepted by this circle is of length $ 2\sqrt{r^{2}-\left(\frac{c}{\sqrt{a^{2}+b^{2}}}\right)^{2}} $
Options:
A) $ hk=5/2 $
B) $ h+2k=5 $
C) $ h^{2}-4k^{2}=5 $
D) $ k^{2}=h^{2}+1 $
Show Answer
Answer:
Correct Answer: B
Solution:
Trick: Put point $ (1,,2) $ in each option, only equation $ h+2k=5 $ satisfies.
Hence the option is correct.
BETA
