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