If a2 + b2 + 2b + 4a + 5 = 0, then the value of $$\frac{{a - b}}{{a + b}}\,{\text{is?}}$$
A. 3
B. -3
C. $$\frac{1}{3}$$
D. $$ - \frac{1}{3}$$
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {a^2} + {b^2} + 2b + 4a + 5 = 0 \cr & \Rightarrow {a^2} + {b^2} + 2b + 4a + 4 + 1 = 0 \cr & \Rightarrow {a^2} + 4a + 4 + {b^2} + 2b + 1 = 0 \cr & \Rightarrow {\left( {a + 2} \right)^2} + {\left( {b + 1} \right)^2} = 0 \cr & a + 2 = 0{\text{ }} \Rightarrow {\text{ a}} = - 2 \cr & b + 1 = 0\,\,\,\, \Rightarrow \,\,\,\,b = - 1 \cr & \frac{{a - b}}{{a + b}} \Rightarrow \frac{{ - 2 + 1}}{{ - 2 - 1}} \cr & \Rightarrow \frac{{ - 1}}{{ - 3}} = \frac{1}{3} \cr} $$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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