What is the value of $$[\frac{1}{1-x^{(p-q)}}+\frac{1}{1-x^{(q-p)}}]\ $$?
Expression = $$[\frac{1}{1-x^{(p-q)}}+\frac{1}{1-x^{(q-p)}}]\ $$
=Â $$(\frac{1}{1-\frac{x^p}{x^q}})+(\frac{1}{1-\frac{x^q}{x^p}})$$
=Â $$(\frac{x^q}{x^q-x^p})+(\frac{x^p}{x^p-x^q})$$
=Â $$(\frac{x^q}{x^q-x^p})-(\frac{x^p}{x^q-x^p})$$
=Â $$\frac{x^q-x^p}{x^q-x^p}=1$$
=> Ans - (B)
Create a FREE account and get:
By proceeding you agree to create your account
Otp is sent to the requested phone number
Wrong OTP Entered
Email already Exists !!! Retry with another email
Something went wrong !!!
