The sum and product of two numbers are 12 and 35, respectively. The sum of their reciprocals will be |
A) \[\frac{1}{3}\]
B) \[\frac{1}{5}\]
C) \[\frac{12}{35}\]
D) \[\frac{35}{12}\]
Correct Answer: C
Solution :
Given, \[x+y=12\]and \[x\,y=35\] |
\[\therefore \] \[\frac{1}{x}+\frac{1}{y}=\frac{x+y}{x\,y}=\frac{12}{35}\] |
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