1.

Find the arithmetic mean between (a – b) and (a + b).

Answer»

Arithmetic mean of (a – b) and (a + b) is \(\frac{(a-b)(a+b)}{2}=\frac{2a}{2}=a.\)

(∵ Arithmetic mean between a & b is given by \(\frac{a\,+\,b}{2}\))

Hence, the Arithmetic mean of (a – b) and (a + b) is a.



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