2. Solved Papers
  3. JCECE Engineering

JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    The values of \[x\] and \[y\] for which the numbers \[3+i{{x}^{2}}y\]and \[{{x}^{2}}+y+4i\] are conjugate complex, can be

    A)  \[(-2,\,\,-1)\]or\[(2,\,\,-1)\]      

    B) \[(-1,\,\,2)\]or\[(-2,\,\,1)\]

    C) \[(1,\,\,2)\]or\[(-1,\,\,-2)\]         

    D)  None of these

    Correct Answer: A

    Solution :

    Given, \[3+i{{x}^{2}}y\] and \[{{x}^{2}}+y+4i\] are conjugate. \[\therefore \]  \[3-i{{x}^{2}}y={{x}^{2}}+y+4i\] \[\Rightarrow \]               \[{{x}^{2}}+y=3\]and\[{{x}^{2}}y=-4\] \[\Rightarrow \]               \[x=\pm 2,\,\,y=-1\] \[\therefore \]  \[(x,\,\,y)=(2,\,\,-1)\]or\[(-2,\,\,-1)\]


You need to login to perform this action.
You will be redirected in 3 sec spinner