Question
Download Solution PDFमाना z = [y] और y = [x] - x है, जहाँ [.] महत्तम पूर्णांक फलन है। यदि x एक पूर्णांक नहीं है परन्तु धनात्मक है, तो z का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
चूँकि, {x}+[x] = x
⇒x - [x] = {x}
⇒ 0≤ x - [x] < 1 (0 ≤ {x} < 1)
⇒ -1 ≤ [x] -x ≤ 0
परन्तु x धनात्मक और पूर्णांक नहीं है; तब
⇒ -1 < [x]-x < 0
⇒ -1 < y < 0
⇒ [y] = -1
∴ विकल्प (a) सही है।
Last updated on May 30, 2025
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