| If \[\frac{3-5x}{2x}+\frac{3-5y}{2y}+\frac{3-5z}{2z}=0,\] then the value of \[\frac{2}{x}+\frac{2}{y}+\frac{2}{z}\] is [SSC (CGL) Mains 2014] |
A) 5
B) 15
C) 20
D) 10
Correct Answer: D
Solution :
| \[\frac{3-5x}{2x}+\frac{3-5y}{2y}+\frac{3-5z}{2z}=0\] |
| \[\Rightarrow \] \[\frac{3-5x}{2x}=0\] |
| \[\Rightarrow \] \[x=3/5\] |
| Similarly, \[y=3/5\] and \[z=3/5\] |
| \[\therefore \] \[\frac{2\times 5}{3}+\frac{2\times 5}{3}+\frac{2\times 5}{3}\] |
| \[\Rightarrow \] \[\frac{10+10+10}{3}=10\] |
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