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in Mathematics by (40.7k points)

Let a,b and c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x = cy + bz, y = az + cx and z = bx + ay. Then, a2 + b2 + c2 + 2abc is equal to

(a) 1 

(b) 2 

(c) -1

(d) 0

1 Answer

+1 vote
by (44.9k points)
selected by
 
Best answer

Correct option (a) 1

Explanation:

Given equations are

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