A) \[1.9\]
B) \[0.95\]
C) \[2.9\]
D) \[1.45\]
Correct Answer: B
Solution :
Key Idea: If two parallel lines touching the circle, then radius of a circle is half the distance between the tangents. Since, given tangent lines \[3x-4y+5=0\] and\[3x-4y-\frac{9}{2}=0\]are parallel. \[\therefore \]Distance between the lines\[=\frac{|{{a}_{1}}-{{a}_{2}}|}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\] \[=\frac{\left| 5+\frac{9}{2} \right|}{\sqrt{9+16}}=\frac{19}{10}\] \[\therefore \]Radius\[=\frac{1}{2}\times \frac{19}{10}\] \[=\frac{19}{20}=0.95\]
You need to login to perform this action.
You will be redirected in
3 sec
