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Mathematics

If a = b, then ab ÷ ba is equal to :

  1. 0

  2. 9(a - b)

  3. 11(a + b)

  4. none of these

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Answer

ab÷ba=abba=a×bb×a=a×aa×a=a2a2=a2a2=1ab ÷ ba\\[1em] = \dfrac{ab}{ba}\\[1em] = \dfrac{a \times b}{b \times a}\\[1em] = \dfrac{a \times a}{a \times a}\\[1em] = \dfrac{a^2}{a^2}\\[1em] = \dfrac{\cancel{a^2}}{\cancel{a^2}}\\[1em] = 1 Hence, option 4 is the correct option.

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