PART 1 (IIT JEE Lecture Series – Complex Numbers | Maximum and Minimum Value)
In this video, we will discuss three important inequalities in complex numbers involving a single complex number.
1st inequality: |z| ≥ |Re(z)| ≥ Re(z)
2nd Inequality: |z| ≥ |Img(z)| ≥ Img(z)
3rd Inequality: |z| ≤ |x|+|y| ≤ √2 |z|
I will discuss how to prove the above inequalities algebraically as well as geometrically.
The above concepts are important for students studying for IIT JEE.
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