If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is? Options: A . &nbsp3 B . &nbsp$${\text{3}}\frac{1}{4}$$ C . &nbsp2 D . &nbsp$${\text{2}}\frac{1}{4}$$

If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2

Question

If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is?

Options:

A . 3

B . $${\text{3}}\frac{1}{4}$$

C . 2

D . $${\text{2}}\frac{1}{4}$$

Answer: Option D

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