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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
        The number of vector of unit length perpendicular to plane of vector\[a=(1,1,0)\]and \[b=(0,1,1)\]is/are

    A)  one                      

    B)  two 

    C)  three                   

    D)  infinite

    Correct Answer: B

    Solution :

                    We have the equation\[A{{x}^{2}}+2Bxy+H{{y}^{2}}=0\]                        ...(i) Since, the lines represented by Eq. (i) are perpendicular, therefore coefficient of\[{{x}^{2}}+\]coefficient of \[{{y}^{2}}=0\] \[\Rightarrow \]               \[A+H=0\]which is the required condition.


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