Circle And System Of Circles Question 114
Question: If the lengths of the chords intercepted by the circle $ x^{2}+y^{2}+2gx+2fy=0 $ from the co-ordinate axes be 10 and 24 respectively, then the radius of the circle is
Options:
A) 17
B) 9
C) 14
D) 13
Show Answer
Answer:
Correct Answer: D
Solution:
Given $ 2\sqrt{g^{2}}=10\Rightarrow \ |g|\ =5 $ and $ 2\sqrt{f^{2}}=24\Rightarrow \ |f|\ =12 $ Therefore, radius is $ \sqrt{5^{2}+12^{2}}=13 $ .
BETA
