(xp/xq)p + q . (xq/xr)q + r. (xr/xp)r + p = কত?

(x^p/x^q)^{p + q}. (x^q/x^r)^{q + r}. (x^r/x^p)^{r + p} = কত?

A 1

C 2

D 10

Solution

Correct Answer: Option A

(x^p/x^q)^{p + q} . (x^q/x^r)^{q + r}. (x^r/x^p)^{r + p}
= (x^{p - q})^{p + q}. (x^q -^r)^{q + r} . (x^{r -}^p)^{r + p}= x^{(p - q)(p + q)}. x^{(q - r)(q + r)} . x^{(r - p)(r + p)}₌_xp² - q² . _xq² - r²._xr² - p²
₌_xp² - q²+ q² - r²+r² - p²
= x^{0
= 1}

Solution

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