If x2 + kx + k = 0 has repeated roots, then the value of k will satisfy:

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RRB ALP Previous Paper 15 (Held On: 21 Aug 2018 Shift 1)
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  1. k < 0 or k > 4
  2. k = 4 only
  3. k = 4 or k = 0
  4. 0 < k < 4

Answer (Detailed Solution Below)

Option 3 : k = 4 or k = 0
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Detailed Solution

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From the given equation, a = 1, b = k, c = k

For repeated roots, b2 – 4ac = 0

⇒ k2 – 4k = 0

⇒ k(k – 4) = 0

∴ k = 4 or k = 0.

Thus, the correct answer is option 3.

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