Circle And System Of Circles Question 85
Question: If a circle whose centre is (1, -3) touches the line $ 3x-4y-5=0 $ , then the radius of the circle is
Options:
A) 2
B) 4
C) $ \frac{5}{2} $
D) $ \frac{7}{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
Radius = perpendicular distance from $ (1,\ -3) $ to $ 3x-4y-5=0 $ , i.e. $ | \frac{3+12-5}{\sqrt{5^{2}}} |\ =2 $ .