If a + b + c = 9 (where a, b, c are real numbers) then the minimum value of a2 + b2 + c2 is?
A. 100
B. 9
C. 27
D. 81
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & a + b + c = 9 \cr & {\text{For minimum value}} \cr & a = b = c \cr & \Rightarrow 3a = 9 \cr & \Rightarrow a = \frac{9}{3} \cr & \Rightarrow a = 3 \cr & {\text{For minimum value}} \cr & a = b = c = 3 \cr & \therefore {a^2} + {b^2} + {c^2} \cr & \Rightarrow {3^2} + {3^2} + {3^2} \cr & \Rightarrow 9 + 9 + 9 \cr & \Rightarrow 27 \cr} $$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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