Define f: C \\toR by f(z)=|z| \forallz \\inC. Then which of the following is false?

Correct Answer is : f(z12+z22)=f(z12)+f(z22) ∀z1,z2∈C

f(\overline{z})=f(z) \\forallz \\in C

f(z^{2})=(f(z))^{2} \\forallz \\inC

f (z_{1}^{2}+z_{2}^{2})=f(z_{1}^{2})+f(z_{2}^{2}) \\forallz_{1}, z_{2} \\inC

AP EAPCET 25-Aug-2021 Shift 1 Paper

Section: Mathematics

Question : 10 of 160

Marks: +1, -0

Define f:C→R by f(z)=|z| ‌∀z∈C. Then which of the following is false?

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