JEE Main & Advanced Sample Paper JEE Main Sample Paper-26

  • question_answer
      A plane P is perpendicular to the vector \[\vec{A}=2\hat{i}+3\hat{j}+6\hat{k}\] and contains the terminal point of the vector \[\vec{B}=\hat{i}+5\hat{j}+3\hat{k}\]. The distance from the origin to the plane P, is

    A)  1                    

    B)  2

    C)  4                                

    D)  5

    Correct Answer: D

    Solution :

    Plane P passes through (1, 5, 3) and normal to \[\vec{A}=(2,3,6)\] Equation is \[2(x-1)+3(y-5)\,+6(z-3)\,=0\]\[\Rightarrow \,2x+3y+6z=35\] \[\therefore \] Perpendicular from (0, 0, 0) to the plane \[=\left| \frac{-35}{7} \right|=5\]

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