Circle And System Of Circles Question 34

Question: 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

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 option is correct.