Question
Download Solution PDFयदि |x2 - 3x + 2| > x2 - 3x + 2 है, तो निम्नलिखित में से कौन-सा एक सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा
यदि f (x) = |x|, तब
गणना:
दिया गया है: |x2 - 3x + 2| > x2 - 3x + 2
स्थिति-1: यदि x ≥ 0
⇒ x2 - 3x + 2 > x2 - 3x + 2
∴ x का कोई भी वास्तविक मान उपरोक्त समीकरण को संतुष्ट नही करता है।
स्थिति -2:- यदि x < 0
⇒ - (x2 - 3x + 2) > x2 - 3x + 2
⇒ x2 - 3x + 2 < 0
⇒ (x - 1) (x - 2) < 0
⇒ 1 < x < 2Last updated on May 30, 2025
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