KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    Distance of the point \[P\,(2,\,\,-3,\,\,4)\] from plane \[\bar{r}.(\hat{i}+\hat{j}+\hat{k})=5\] measured parallel to x-axis, is

    A) 1

    B) \[\sqrt{2}\]

    C) 2

    D)  4

    Correct Answer: C

    Solution :

    Equation of a line parallel to x-axis and passes through \[P\,(2,\,\,-3,\,\,4)\]
    \[\frac{x-2}{1}=\frac{y+3}{0}=\frac{z-4}{0}=\lambda \]
    Point on it \[\,(\lambda +2,\,\,-3,\,\,4)\]
    it will satisfy plane
    Point on plane \[Q\,(+\,\,4,\,\,-3,\,\,4)\]
    hence dis \[PQ=2\]

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