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Number of circles touching the lines 3x+4y–1=0, 4x–5y+2=0 and 6x+8y+3=0 is

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Number of circles touching the lines 3x+4y–1=0, 4x–5y+2=0 and 6x+8y+3=0 is

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Since 3x+4y-1=0 and 6x+8y+3=0 are parallel and third line 4x-5y+2=0 will intersect them therefore, as shown in the diagram there will be two circles which will touch all the three given lines.

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