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What is the value of $$[\frac{1}{1-x^{(p-q)}}+\frac{1}{1-x^{(q-p)}}]\ $$?
Expression = $$[\frac{1}{1-x^{(p-q)}}+\frac{1}{1-x^{(q-p)}}]\ $$
= $$(\frac{1}{1-\frac{x^p}{x^q}})+(\frac{1}{1-\frac{x^q}{x^p}})$$
= $$(\frac{x^q}{x^q-x^p})+(\frac{x^p}{x^p-x^q})$$
= $$(\frac{x^q}{x^q-x^p})-(\frac{x^p}{x^q-x^p})$$
= $$\frac{x^q-x^p}{x^q-x^p}=1$$
=> Ans - (B)
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