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# Equation of the plane which passes through the point of intersection of lines $\;\large\frac{x-1}{3} = \large\frac{y-2}{1}=\large\frac{z-3}{2}\;$ and $\;\large\frac{x-3}{1}=\large\frac{y-1}{2}=\large\frac{z-2}{3}\;$ and has the largest distance from the origin is :

$(a)\;7x+2y+4z=54\qquad(b)\;3x+4y+5z=49\qquad(c)\;4x+3y+5z=50\qquad(d)\;5x+4y+3z=57$