If the lines \( 2 x-3 y=5 \) and \( 3 x-4 y=7 \) are the diameters of a circle of area 154 squar...

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If the lines \( 2 x-3 y=5 \) and \( 3 x-4 y=7 \) are the diameters of a circle of area 154 square units, then obtain the equation of the circle.
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