Question:
The greatest and the least value of \( z = x + iy \), where \( |z| = 1 \) and \( |x| \leq 3 \), are?
The greatest and the least value of \( z = x + iy \), where \( |z| = 1 \) and \( |x| \leq 3 \), are?
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Use the properties of complex numbers and modulus to calculate the magnitude and find maximum/minimum values.
Updated On: Jan 12, 2026
- \( 6, 0 \)
- \( 6, 0 \)
- \( 6, 3 \)
- None of these
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The Correct Option is B
Solution and Explanation
The value of \( z \) is complex, and by solving the equation \( z = x + iy \), where \( |z| = 1 \), we find the maximum and minimum values of \( z \).
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