Allied & ICAR Exam Bank • ALLIED_0109 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Solutions of linear and non-linear algebraic equations

Question Statement:

Newton-Raphson method fails if at any iteration:

Options:

  • (A) $f'(x_n) = 0$
  • (B) $f(x_n) = 0$
  • (C) $f''(x_n) = 0$
  • (D) $x_n < 0$

Answer Key:

A

Step-by-Step Solution & Explanation

If $f'(x_n) = 0$, the tangent line is horizontal and never intersects the x-axis, causing division by zero.
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