12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-7

  • question_answer
    Perpendicular distance of the point \[\left( \mathbf{3},\mathbf{4},\mathbf{5} \right)\] from y-axis, is:

    A)  4                                

    B)  5             

    C)  \[\sqrt{26}\]                             

    D)  \[\sqrt{34}\]

    Correct Answer: D

    Solution :

    [d] Let \[P(\alpha ,\beta ,\gamma )\]be any point in a space. Then perpendicular distance of \[P(\alpha ,\beta ,\gamma )\] from y-axis \[d=\sqrt{{{\alpha }^{2}}+{{\gamma }^{2}}}\] So, the perpendicular distance of \[P\left( 3,4,5 \right)\]from y-axis, \[d=\sqrt{{{3}^{2}}+{{(5)}^{2}}}=\sqrt{9+25}=\sqrt{34}\] Hence option [d] is correct.


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