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Question

If the lines 3x4y+4=0 and 6x8y7=0 are tangents to a circle of radius r, then the value of 4r is

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Solution

Given lines are
3x4y+4=0 and
6x8y7=03x4y72=0
As both the lines are parallel, so the length of the diameter
d=4(72)52r=324r=3

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