A) 1.9 |
B) 0.95 |
C) 2.9 |
D) 1.45 |
B) 0.95 |
Since, given lines are parallel to each other so the line segment joining the points of contact is diameter of the circle, distance between the lines
\( \Large 3x-4y+5=0\ and\ 3x-4y-\frac{9}{2}=0\ is \)
\( \Large |\frac{5+\frac{9}{2}}{\sqrt{3^{2}+4^{2}}}|\ =\ |\frac{9}{10}| = 1.9 \)
Length of diameter of the circle is 1.9.
Radius of circle = \( \Large \frac{1.9}{2} = 0.95 \)