Two contours of the function f(x, y)corresponding to different values of f cannot ever cross.

Name: Two contours of the function f(x, y)corresponding to different values of f cannot ever cross.
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Quizplus · Accepted Answer

Contours of a function represent lines of constant value. Since each contour corresponds to a unique value of the function, two contours corresponding to different values cannot intersect, as that would imply a single point (x, y) has two different values of f(x, y), which is impossible.

Two Contours of the Function F(x, Y)corresponding to Different Values