Q.

If the lines 3x + 4y - 14 = 0 and 6x + 8y + 7 = 0 are both tangents to a circle, then its radius is

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a

74

b

7

c

76

d

72

answer is C.

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Detailed Solution

Given lines 
3x+4y14=0(1)
6x+8y+7=0(2)           
Given lines are parallel 
Radius = 12 (distance between parallel lines)  =1272=74

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