JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Mock Test - Three Dimensional Geometry

  • question_answer
    The intercept made by the plane \[\vec{r}\cdot \vec{n}=q\]on the x-axis is

    A) \[\frac{q}{\hat{i}\cdot \vec{n}}\]           

    B) \[\frac{\hat{i}\cdot \vec{n}}{q}\]

    C) \[\frac{\hat{i}\cdot \vec{n}}{q}\]           

    D) \[\frac{q}{\left| {\vec{n}} \right|}\]

    Correct Answer: A

    Solution :

    [a] x intercept is say \[{{x}_{1}},\] i.e., the plane passes through it. Therefore, \[{{x}_{1}}\hat{i}\cdot \vec{n}=q\] or \[{{x}_{1}}=\frac{q}{\hat{i}\cdot \vec{n}}\]


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