engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Engineering Mathematics Calculus

Consider the function f(x, y) = 2x2 - 2x2y + y2. Which of the following statement is true?

  1. (0, 0) is minima
  2. (1, 1) is saddle point
  3. (-1, 1) is saddle point

1
(I) only
2
(I) and (II) only
3
(I), (II) and (III)
4
(II) and (III) only
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