Question
Download Solution PDF9 மற்றும் 13 ஆகியவற்றில் இருந்து எந்த மிகச்சிறிய மிகை எண்ணைக் கழித்தால், அவற்றின் மூன்றாவது விகிதம் 18 ஆக இருக்கும்?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
18 என்பது மூன்றாவது விகிதமாகும்.
பயன்படுத்தப்பட்ட கருத்து:
1. A : B :: C : D எனில் (B x C) = (A x D)
2. (a - b)2 = a2 - 2ab + b2
கணக்கீடு:
மிகச்சிறிய மிகை எண் Q என்க.
விகிதம் (9 - Q) : (13 - Q) : : (13 - Q) : 18 ஆகிறது.
கேள்வியின்படி,
(13 - Q)2 = (9 - Q) x 18
⇒ 169 + Q2 - 26Q = 162 - 18Q
⇒ Q2 - 8Q + 7 = 0
⇒ (Q - 7)(Q - 1) = 0
எனவே, மிகச்சிறிய எண் = Q = 1
∴ மிகச்சிறிய எண் 1 ஆகும்.
Last updated on Jul 19, 2025
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