If $$\frac{x}{a} = \frac{1}{a} - \frac{1}{x}{\text{,}}$$ then the value of x - x2 is?
A. -a
B. $$\frac{1}{a}$$
C. a
D. $$ - \frac{1}{a}$$
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \frac{x}{a} = \frac{1}{a} - \frac{1}{x} \cr & \Rightarrow \frac{x}{a} - \frac{1}{a} = - \frac{1}{x} \cr & \Rightarrow \left( {\frac{{x - 1}}{a}} \right) = - \frac{1}{x} \cr & \Rightarrow \frac{{1 - x}}{a} = \frac{1}{x} \cr & \Rightarrow x\left( {1 - x} \right) = a \cr & \Rightarrow x - {x^2} = a \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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