A) 15
B) 3
C) 5
D) 10
Correct Answer: C
Solution :
[c] \[\frac{5x-\,3}{x}+\frac{5y-\,3}{y}+\frac{5z-\,3}{z}=0\] \[\frac{5x}{x}-\,\frac{3}{4}+\frac{5y}{y}-\,\frac{3}{y}+\frac{5z}{z}-\,\frac{3}{z}=0\] \[5-\,\frac{3}{x}+5-\,\frac{3}{y}+5-\,\frac{3}{z}=0\] \[-\,3\left[ \frac{1}{x}+\frac{1}{y}+\frac{1}{z} \right]+15=0\] \[-3\left[ \frac{1}{x}+\frac{1}{y}+\frac{1}{z} \right]=\frac{-\,15}{3}\] \[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{-\,15}{-\,3}=5\]
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