Question
Download Solution PDFif \(\rm \frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0\), What is the value of \(\rm \left(\frac{1}{a}-\frac{1}{b}-\frac{1}{c}\right)\) ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
We have,
\(\rm \frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0\)
⇒ 2 - \(\frac{5}{a}\) - 4 + \(\frac{5}{b}\) + 6 + \(\frac{5}{c}\) = 0
⇒ 8 - 4 = \(\frac{5}{a}\) - \(\frac{5}{b}\) - \(\frac{5}{c}\)
⇒ 4 = 5 [\(\frac{1}{a}\) - \(\frac{1}{b}\) - \(\frac{1}{c}\) ]
⇒ [\(\frac{1}{a}\) - \(\frac{1}{b}\) - \(\frac{1}{c}\) ] = 4/5
∴ The correct answer is option (1).
Last updated on Jun 25, 2025
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