Question:
The minimum value of \(| z+ \frac{3+4i}{2}|, |z| \leq 1\) is,
The minimum value of \(| z+ \frac{3+4i}{2}|, |z| \leq 1\) is,
Updated On: Mar 20, 2025
- \(\frac{3}{2}\)
- \(\frac{5}{2}\)
- \(3\)
- \(5\)
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The Correct Option is A
Solution and Explanation
The Correct Option is (A): \(\frac{3}{2}\)
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Concepts Used:
Complex Numbers and Quadratic Equations
Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.
Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.
