JEE Main & Advanced AIEEE Solved Paper-2012

  • question_answer
    A equation of a plane parallel to the plane \[x-2y+2z-5=0\]and at a unit distance from the origin is:     AIEEE  Solved  Paper-2012

    A) \[x-2y+2z-3=0\]  

    B) \[x-2y+2z+1=0\] 

    C) \[x-2y+2z-1=0\]  

    D) \[x-2y+2z+5=0\]

    Correct Answer: A

    Solution :

                 Equation of parallel plane \[x-2y+2z+d=0\] Now \[\left| \frac{d}{\sqrt{{{1}^{2}}+{{2}^{2}}+{{2}^{2}}}} \right|=1\] \[d=\pm 3\] So equation required plane \[x-2y+2z\pm 3=0\]


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