Circle And System Of Circles Question 309
Question: The angle between the tangents to the circle $ x^{2}+y^{2}=169 $ at the points (5, 12) and (12, -5), is
Options:
A) $ 30^{o} $
B) $ 45^{o} $
C) $ 60^{o} $
D) $ 90^{o} $
Show Answer
Answer:
Correct Answer: D
Solution:
The equations of tangents to the given circle will be $ 5x+12y=169 $ and $ 12x-5y=169 $ .
Obviously the angle between the tangents is $ 90^{o} $ .