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The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are both tangents to a circle. Find the radius of the circle.
- 3/2
- 3/4
- 1/10
- 1/20
Correct answer: 3/4
Solution
Rewriting the second line as 3x - 4y - 7/2 = 0, the distance between the parallel tangents is |4 - (-7/2)|/5 = 3/2, so the radius is 3/4.
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