Comprehension

निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें:

माना f(x) = |x|2 - |x2| है।

f(0.999) + f(1.001) किसके बराबर है?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. -1
  2. 0
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  4. 2

Answer (Detailed Solution Below)

Option 2 : 0
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Detailed Solution

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व्याख्या:

f(x) = [x]2 - [x2]

⇒ f(0.999) = [0.999]2 - [0.9992 ]

= 0 - [0 और 1 के बीच मान]

= 0 - 0 = 0

⇒ f(1.001) = [1.001]2 - [(1.001)2 ]

= 1 - 1 = 0

⇒ f(0.999) + f(1.001) = 0 + 0 = 0

∴ विकल्प (b) सही है।

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