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Q34Section B (Section B)34 of 60

Quadratic form on the unit circle

Consider the function f(x,y)=3x2+4xy+y2,(x,y)∈R2.f(x,y)=3x^{2}+4xy+y^{2},\quad(x,y)\in\mathbb{R}^{2}. If S={(x,y)∈R2:x2+y2=1}S=\left\{(x,y)\in\mathbb{R}^{2}:x^{2}+y^{2}=1\right\}, then which of the following statements is/are TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.