MCQ
The value of (xa-b)a+b × (xb-c)b+c × (xc-a)c+a is:
  • A
    0
  • B
    1
  • C
    3
  • D
    2

Answer

  1. 1
    Solution:
    (xa-b)a+b × (xb-c)b+c × (xc-a)c+a
    $\Rightarrow\text{x}^{\text{a}^{2}-\text{b}^2}\times\text{x}^{\text{b}^2-\text{c}^2}\times\text{x}^{\text{c}^2-\text{a}^2}$
    $\Rightarrow\text{x}^{\text{a}^2-\text{b}^2+\text{b}^2-\text{c}^2+\text{c}^2-\text{a}^2}$
    $\Rightarrow\text{x}^0=1$

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