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

  • question_answer
    The foot of the perpendicular drawn from the origin to a plane is the point (1,-3, 1). What is the intercept cut on the x-axis by the plane?

    A) 1

    B) 3

    C) \[\sqrt{11}\]

    D) 11

    Correct Answer: D

    Solution :

    [d] Equation of plane passing through \[(1,-3,1)\] and whose normal \[(1,-3,1)\]is \[1(x-1)-3(y+3)+1(z-1)=0\] \[\Rightarrow x-3y+z-11=0\] \[\Rightarrow \frac{x}{11}-\frac{y}{11/3}+\frac{z}{11}=0\] The above plane intercept the x-axis at 11.


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