Allied & ICAR Exam Bank • ALLIED_0034 MCQ • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Maxima and minima of function with several independent variables

Question Statement:

For a function $f(x, y)$, a stationary point where $f_{xx} f_{yy} - (f_{xy})^2 < 0$ is classified as a:

Options:

  • (A) Saddle point
  • (B) Local minimum
  • (C) Local maximum
  • (D) Inflexion curve

Answer Key:

A

Step-by-Step Solution & Explanation

When the discriminant (Hessian determinant) is strictly negative, the stationary point is a saddle point.
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