If a + b = 5 and a - b = \(\sqrt{17}\), then ab = ________.

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NPCIL Stipendiary Trainee (Category-II) Official Paper (Held On: 11 Jun 2019)
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  1. 2
  2. 1
  3. 5\(\sqrt{17}\)
  4. 4

Answer (Detailed Solution Below)

Option 1 : 2
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NPCIL Stipendiary Trainee General Awareness Subject Test - 01
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Detailed Solution

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Given:

a + b = 5

a - b = √17

Formula used:

(a + b)2 - (a - b)2 = 4ab

Calculation:

(5)2 - (√17)2 = 4ab

⇒ 25 - 17 = 4ab

⇒ 8 = 4ab

⇒ ab = 2

∴ The correct answer is option (1).

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