Question
Download Solution PDFabc = 5 எனில் (\({1 \over 1 \ + \ a \ + \ b^{-1} }\) + \({1 \over 1 \ + \ b \ + \ 5 c^{-1}}\) +\(\frac{1}{1+\frac{c}{5}+a^{-1}}\) \(\))இன் மதிப்பு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டுள்ள மதிப்பு:
abc = 5
பயன்படுத்தப்பட்டுள்ள சூத்திரம்:
⇒ ac = \(5\over b \)
⇒ (b)-1
⇒ b = \(5\over ac\)
கணக்கீடு
\({1 \over 1 \ + \ a \ + \ b^{-1} }\) + \({1 \over 1 \ + \ b \ + \ 5 c^{-1}}\) + \(\frac{1}{1+\frac{c}{5}+a^{-1}}\)
⇒\(\frac{1}{1+\frac{ac}{5}+a}\) + \(\frac{1}{1+\frac{5}{ac}+5c^{-1}}\) + \(\frac{1}{1+\frac{1}{ab}+a^{-1}}\)
⇒\(5\over5+5a+ac \)\(+\) \(ac\over5+5a+ac \) \(+\) \(a\over5+a+ac \)
⇒\(a+5+ac\over5+a+ac \)
⇒\(1\)
எனவே, ( \({1 \over 1 \ + \ a \ + \ b^{-1} }\)+\({1 \over 1 \ + \ b \ + \ 5 c^{-1}}\)+\(\frac{1}{1+\frac{c}{5}+a^{-1}}\))இன் மதிப்பு 1
Shortcut Trick a = b = 1 மற்றும் c = 5 என வைத்து கொண்டால்
கொடுக்கப்பட்டுள்ள கேள்வியின்படி.
⇒ \({1 \over 1 \ + \ 1 \ + {5 \over 5 }}\) \(\frac{1}{1+\frac{5}{5}+ {1}}\) + \(\frac{1} {1+\frac{5}{5}+ {1}}\)
⇒ 1/3 + 1/3 + 1/3
⇒ 3/3 = 1
Last updated on Jun 13, 2025
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