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J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    If the foot of perpendicular from the origin to a plane is \[(1,2,3),\] then equation of the planets                                       

    A)  \[2x-y+z=3\]   

    B)  \[x+y+z=6\]          

    C)  \[x-y-z=-4\]  

    D)  \[x+2y+3z=14\]      

    Correct Answer: D

    Solution :

    \[\therefore \] Equation of plane passing through \[P(1,2,3)\] is \[a(x-1)+b(y-2)+c(z-3)=0\] ?.(i) \[\therefore \]  DR?s of \[OP=(1,2,3)\] \[\therefore \]From Eq. (i), \[1(x-1)+2(y-2)+3(z-3)=0\] \[\Rightarrow \] \[x+2y+3z-14=0\] \[\Rightarrow \] \[x+2y+3z=14\]


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