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JEE Main & Advanced JEE Main Paper (Held on 12-4-2019 Afternoon)

  • question_answer
    Let \[z\in C\] with \[Im\left( z \right)=10\] and it satisfies\[\frac{2z-n}{2z+n}=2i-1\]for some natural number n. Then : [JEE Main 12-4-2019 Afternoon]

    A) \[n=20\] and \[Re\left( z \right)=10\]

    B) \[n=20\] and \[Re\left( z \right)=10\]

    C) \[n=40\] and\[Re\left( z \right)=-10\]

    D) \[n=40\] and\[Re\left( z \right)=10\]

    Correct Answer: C

    Solution :

    Put\[~z=x+10i\] \[\therefore \] \[2\left( x+10i \right)n=\left( 2i1 \right).\left[ 2\left( x+10i \right)+n \right]\] compare real and imginary coefficients \[x=10,n=40\]


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