If the lines joining origin to the points of intersection of the line \[fx-gy=\lambda \] and the curve \[{{x}^{2}}+hxy-{{y}^{2}}+gx+fy=0\] be mutually perpendicular, then

• A. \[\lambda =h\]
• B. \[\lambda =g\]
• C. \[\lambda =fg\]
• D. \[\lambda \]may have any value