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JEE Main & Advanced Sample Paper JEE Main Sample Paper-15

  • question_answer
    If z be a complex number such that the equation \[|z-{{k}^{2}}|+|z+2k|=3\] always represents an ellipse then the number of integers in the range of k (where \[k\in R\]) is/are

    A)  0                                            

    B)  1

    C)  2                                            

    D)  3

    Correct Answer: B

    Solution :

    \[|z-{{k}^{2}}|+|z+2k|=3\]represent ellipse when\[|{{k}^{2}}+2k|<3\]Solving this get, \[k\in (-3,1)\]. Ans.


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