MAXIMA AND MINIMA OF FUNCTIONS OF SEVERAL VARIABLES – MCQ – LEVEL-1

Let (x_r, y_r), r = 1, 2, 3, gives the vertices of a triangle and (x, y) is the point inside the triangle, then the coordinates of (x, y), such that it’s distance from three vertices is minimum.

Let f and   be defined by f(x, y) = x⁴ + y², g(x, y) = x⁴ + y⁴ – 10x²y then at (0, 0)

Examine f(x, y) = x³ + y³ – 3axy for maximum and minimum values

Consider the function f(x, y) = (y – x²) (y – 2x²) on R² then at (0, 0). Which of the following is incorrect.

Consider the function f(x, y) = 2(x² – y²) – x⁴ + y⁴ then f(x, y) have relative

Which of the following is not the stationary points of x⁴ + y⁴ – 2x² + 4xy – 2y²

Let f(x, y) = x(x – 2y²), for   the at (0, 0). Which of the following is not true.

Which of the following statement is false about the point on x² + xy + y² = 16.

The necessary and sufficient condition for existence of an extremum value of f(x, y) such that that

Find the minimum value of x² + y² + z², when ax + by + cz = p