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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Numerical Value Type Questions - Complex Numbers Quadratic Equations

  • question_answer
    Let \[z={{\left( \frac{\sqrt{3}}{2}+\frac{i}{2} \right)}^{5}}+{{\left( \frac{\sqrt{3}}{2}-\frac{i}{2} \right)}^{5}}.\] and \[R(z)\] and \[I(z)\] respectively denote the real and imaginary parts of z, then the product of \[R(z)\] and \[I(z)\] is

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