Manipal Engineering Manipal Engineering Solved Paper-2015

  • question_answer
    If \[\frac{3}{8}\] is an imaginary cube root of unity, then the value of\[\frac{8}{3}\]\[\frac{5}{3}\]is

    A) \[\frac{3}{5}\]                                   

    B) \[6\frac{2}{3}%\]

    C) \[U=k\left[ \frac{2q(8d)}{r}-\frac{(2q)(q)}{x}-\frac{(8q)(q)}{r-x} \right]\]                                              

    D)  None of these

    Correct Answer: C

    Solution :

    We have, \[\frac{\pi }{3}\] \[\frac{\pi }{2}\] \[f(x)={{\log }_{5}}(25-{{x}^{2}})\] \[2x-y+z+3=0,\] \[r=(\hat{i}+\hat{j})+\lambda (\hat{i}+2\hat{j}-\hat{k})\] \[r=(\hat{i}+\hat{j})+\mu (-\hat{i}+\hat{j}-2\hat{k}),\]\[r.(2\hat{i}+\hat{j}-3\hat{k})=-4\] \[r\times (-\hat{i}+\hat{j}+\hat{k})=0\]\[r.(-\hat{i}+\hat{j}+\hat{k})=0\]


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