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Question

If the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a circle, then the radius of the circle is

A
3/2
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B
3/4
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C
1/10
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D
1/20
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Solution

The correct option is B 3/4
The diameter of the circle is perpendicular distance between the parallel lines (tangents) 3x - 4y + 4 = 0 and 3x4y72=0 and so it is equal to 49+16+7/29+1632. Hence radius is \frac{3}{4}.

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