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Competitive Stats
Q32Section B (Section B)32 of 60

Critical points of bivariate polynomial

Let f:R2→Rf:\mathbb{R}^2\to\mathbb{R} be the function defined by f(x,y)=8(x2−y2)−x4+y4.f(x, y)=8(x^2-y^2)-x^4+y^4. 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.