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CDS 2024 · PYQ · Quadratic Equations · easy

What is the greatest value of k for which 2x² − 4x + k = 0 has real roots ?

Answer

The correct answer is B: 2. For real roots, discriminant ≥ 0. D = (−4)² − 4(2)(k) = 16 − 8k ≥ 0, giving k ≤ 2.

  1. A.1
  2. B.2✓ Correct
  3. C.3
  4. D.4

Explanation

For real roots, discriminant ≥ 0. D = (−4)² − 4(2)(k) = 16 − 8k ≥ 0, giving k ≤ 2. The greatest value is 2.
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