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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        The equation of the plane containing the line \[\frac{x-{{x}_{1}}}{l}=\frac{y-{{y}_{1}}}{m}=\frac{z-{{z}_{1}}}{n}\]is\[a(x-{{x}_{1}})+b(y-{{y}_{1}})+c(z-{{z}_{1}})=0,\]where:

    A)  \[a{{x}_{1}}+b{{y}_{1}}+c{{z}_{1}}=0\]

    B)  \[al+bm+cn=0\]

    C)  \[\frac{a}{l}=\frac{b}{m}=\frac{c}{n}\]

    D)  \[l{{x}_{1}}+m{{y}_{1}}+n{{z}_{1}}=0\]

    Correct Answer: B

    Solution :

                    If the given plane contains the given line then normal to the plane, must be perpendicular to the line and the condition for the same is \[al+bm+cn=0\]


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