यदि  है, तो

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NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
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  1. k से छोटा है
  2. k से बड़ा है
  3. k से छोटा या k के बराबर है
  4. k से बड़ा या k के बराबर है

Answer (Detailed Solution Below)

Option 3 : k से छोटा या k के बराबर है
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दिया गया है:

प्रयुक्त सूत्र:

निश्चित समाकल के गुण:

जहां,

, ( k = स्थिरांक)

|x| = x, यदि x ≥ 0

|x| < 0, यदि x < 0 

गणना:

का मान ज्ञात करना है

----(i)

चूंकि, निचली और ऊपरी सीमा -2 और 0 है जो शून्य से कम है,

तो, |f(x)| = -f(x)

अब (i) से हमें प्राप्त होता है

⇒ - k ≤ k [∵ हम k का सही मान नहीं जानते (यह शून्य, -ve, +ve) हो सकता है]

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