If $$\left( {2 + \sqrt 3 } \right)a$$ = $$\left( {2 - \sqrt 3 } \right)b$$ = 1 then the value of $$\frac{1}{a}$$ + $$\frac{1}{b}$$ is?
A. 1
B. 2
C. $${\text{2}}\sqrt 2 $$
D. 4
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & \left( {2 + \sqrt 3 } \right)a = \left( {2 - \sqrt 3 } \right)b = 1 \cr & \Rightarrow \frac{1}{a} = \left( {2 + \sqrt 3 } \right) \cr & {\text{By rationals}} \cr & \Rightarrow \frac{1}{b} = \left( {2 - \sqrt 3 } \right) \cr & \Rightarrow \frac{1}{a} + \frac{1}{b} = 2 + \sqrt 3 + 2 - \sqrt 3 \cr & \Rightarrow \frac{1}{a} + \frac{1}{b} = 4 \cr} $$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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