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GATE 2021 MT – Question 36

Engineering Mathematics · Calculus and vector calculus · 2 marks · Multiple choice

The minimum value of $y=x^2-2x+4$ is ______.

  1. 3
  2. 1
  3. 4
  4. 6

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Show answer and explanation

Correct answer: (A) 3

Explanation

Complete the square: y=x²−2x+4=(x−1)²+3. The squared term is nonnegative and vanishes at x=1. Minimum **3, A**.