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If $$\frac{x}{a} = \frac{1}{a} - \frac{1}{x}{\text{,}}$$ then the value of x - x2 is?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \frac{x}{a} = \frac{1}{a} - \frac{1}{x} \cr
& \Rightarrow \frac{x}{a} - \frac{1}{a} = - \frac{1}{x} \cr
& \Rightarrow \left( {\frac{{x - 1}}{a}} \right) = - \frac{1}{x} \cr
& \Rightarrow \frac{{1 - x}}{a} = \frac{1}{x} \cr
& \Rightarrow x\left( {1 - x} \right) = a \cr
& \Rightarrow x - {x^2} = a \cr} $$
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