Question:
If a > 0, a R, z = a + 2i and |z| = -az + 1, then:
If a > 0, a R, z = a + 2i and |z| = -az + 1, then:
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Modulus of a complex number is always real and non-negative.
Updated On: Mar 18, 2026
- z is always a positive real number
- z is always a negative real number
- z is purely imaginary number
- such a complex z does not exist
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Modulus property. |z| is always non-negative real.
Step 2: Contradiction. Equation leads to imaginary RHS, hence impossible.
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