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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Self Evaluation Test - Three Dimensional Geometry

  • question_answer
    The plane \[x+3y+13=0\] passes through the line of intersection of the planes \[2x-8y+4z=p\]and\[3x-5y+4z+10=0\]. If the plane is perpendicular to the plane\[3x-y-2z-4=0\], then the value of p is equal to

    A) 2

    B) 5

    C) 9

    D) 3

    Correct Answer: D

    Solution :

    [d] The required plane is \[(2+3\lambda )x+(-8-5\lambda )y+(4+4\lambda )z+P-10\lambda =0\] Compare the coefficients with the plan We get \[4+4\lambda =0\Rightarrow \lambda =-1\] \[x+3y+oz+13=0\] Then we get \[P=3.\]


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