The area enclosed by the curves y = x - 1 and y2 = 2x + 6 is:

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AAI ATC Junior Executive 27 July 2022 Shift 2 Official Paper
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  1. 21
  2. 24
  3. 18
  4. 20

Answer (Detailed Solution Below)

Option 3 : 18
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Detailed Solution

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Explanation:

Given curves are y = x - 1 and y2 = 2x + 6 

On solving, we get, 

y2 = 2(y + 1) + 6

⇒ y2 - 2y - 8 = 0

⇒ (y - 4)(y + 2) = 0

⇒ y = -2, 4

Now, we can find the area by

A = 

∴ A = 18

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