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  1. If x = b + c – 2a, y = c + a – 2b, z = a + b – 2c, then the value of x2 + y2 – z2 + 2xy is
    1. 0
    2. a + b + c
    3. a – b + c
    4. a + b – c
Correct Option: A

x2 + y2 – z2 + 2xy
= x2 + y2 + 2xy – z2
= (x +y)2 – z2 = (x + y + z) (x + y – z)
= (b + c– 2a + c + a – 2b + a + b – 2c) (x + y– z) = 0



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