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If a, b, c are real numbers such that a + b + c = 0 and a^2 + b^2 + c^2 = 1, then (3a + 5b - 8c)^2 + (-8a + 3b + 5c)^2 + (5a - 8b + 3c)^2 is equal to

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If a, b, c are real numbers such that a + b + c = 0 and a2 + b2 + c2 = 1, then (3a + 5b - 8c)2 + (-8a + 3b + 5c)2 + (5a - 8b + 3c)2 is equal to

(a) 49

(b) 98

(c) 147

(d) 294

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Answer is : (c) 147

We have,

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