Consider the following two statements: Statement I: For any two non-zero complex numbers \({z}_{1},{z}_{2},\left(\left|{…

Consider the following two statements:
Statement I: For any two non-zero complex numbers \({z}_{1},{z}_{2},\left(\left|{z}_{1}\right|+\left|{z}_{2}\right|\right)\left|\frac{{z}_{1}}{\left|{z}_{1}\right|}+\frac{{z}_{2}}{\left|{z}_{2}\right|}\right|\leq 2\left(\left|{z}_{1}\right|+\left|{z}_{2}\right|\right)\), and

Statement II : If \(x, y, z\) are three distinct complex numbers and \(a, b, c\) are three positive real numbers such that\(\frac{a}{|y-z|}=\frac{b}{|z-x|}=\frac{c}{|x-y|}\), then \(\frac{{a}^{2}}{y-z}+\frac{{b}^{2}}{z-x}+\frac{{c}^{2}}{x-y}=1.\)

Between the above two statements,

[JEE Main 2024, 5 Apr (Shift 1)]