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Comprehension

Direction : Consider the following for the items that follow :

Let f(x) = |x2 - x - 2|

What is  equal to

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 2
  2. 3
  3. 4
  4. 5

Answer (Detailed Solution Below)

Option 2 : 3
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Detailed Solution

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Explanation:

Given:

f(x) =|x2 – x – 2|

= {x2- x - 2; x ∈ (-∞, -1) ∪ (2, ∞) 

      - (x2 -x -2 ; x ∈[ -1,2]

Let I = 

= 

= 

= 

=  = 3

∴ Option (b) is correct.

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