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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Plane

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    The equation of the plane passing through the intersection of the planes \[x+y+z=6\] and \[2x+3y+4z+5=0\] the point (1, 1, 1), is [AISSE 1983]

    A)            \[20x+23y+26z-69=0\]

    B)            \[20x+23y+26z+69=0\]

    C)            \[23x+20y+26z-69=0\]

    D)            None of these

    Correct Answer: A

    Solution :

               \[(x+y+z-6)+\lambda \,(2x+3y+4z+5)\,=0\,\Rightarrow \,\,\lambda =\frac{3}{14}\]            \[\Rightarrow \,\,20x+23y+26z-69=0\].


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