Circle And System Of Circles Question 359
Question: The length of the chord joining the points in which the straight line $ \frac{x}{3}+\frac{y}{4}=1 $ cuts the circle $ x^{2}+y^{2}=\frac{169}{25} $ is
[Orissa JEE 2003]
Options:
A) 1
B) 2
C) 4
D) 8
Show Answer
Answer:
Correct Answer: B
Solution:
$ OM= $ length of the perpendicular to the line $ 4x+3y=12 $ from $ (0,,0)=\frac{12}{5} $ . Radius of the circle is $ \frac{13}{5} $ . Required length $ =2\sqrt{\frac{169}{25}-\frac{144}{25}}=2 $ .
BETA
