1.
Consider the following two statements:

Statement I: For any two non-zero complex numbers z1,z2z_1, z_2,
∣z1+z2∣2+∣z1−z2∣2≤2 ∣z1∣2+2 ∣z2∣2.|z_1 + z_2|^2 + |z_1 - z_2|^2 \le 2\,|z_1|^2 + 2\,|z_2|^2.


Statement II: If x,y,zx, y, z are three distinct complex numbers and a,b,ca, b, c are three positive real numbers such that y−z,z−x,x−yy - z, z - x, x - y are non-zero, then
a2+b2+c2(y−z)2+a2+b2+c2(z−x)2+a2+b2+c2(x−y)2≥1.\frac{a^2 + b^2 + c^2}{(y-z)^2} + \frac{a^2 + b^2 + c^2}{(z-x)^2} + \frac{a^2 + b^2 + c^2}{(x-y)^2} \ge 1.


Between the above two statements,