If the lines joining origin to the points of intersection of the line fx - gy = 2 and the curve x² +hxy- y² +gx + fy = 0 be mutually perpendicular, then (A)2 =h (B) 2=g (C)2 = fg (D) 2 may have any value

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A: (x-1)/2 = (y-1)/2 = (z-3)/2  And (x+1)/4 =y/3 =(z-1).

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