JEE Main & Advanced Sample Paper JEE Main - Mock Test - 37

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

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

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

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

    D)        None

    Correct Answer: A

    Solution :

    [a] \[\vec{r}.\vec{n}=q\] Let, intercept made by the plane (1) on the x-axis is \[{{x}_{1}}\]. \[\Rightarrow \] plane (1) passes through it \[{{x}_{1}}\hat{i}.\vec{n}=q\Rightarrow {{x}_{1}}=\frac{q}{\hat{i}.\vec{n}}\]


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