If pqr=1, then find the value of 

open parentheses fraction numerator 1 over denominator 1 plus p plus q to the power of negative 1 end exponent end fraction plus fraction numerator 1 over denominator 1 plus q plus r to the power of negative 1 end exponent end fraction plus fraction numerator 1 over denominator 1 plus r plus p to the power of negative 1 end exponent end fraction close parentheses

A) pq+qr+rp

B) 1

C) pq+qr

D) bevelled fraction numerator p over denominator q space space end fraction

Asked by adalroshan2464 | 14th Nov, 2018, 05:49: PM

Expert Answer:

begin mathsize 16px style fraction numerator 1 over denominator 1 plus straight p plus straight q to the power of negative 1 end exponent end fraction plus fraction numerator 1 over denominator 1 plus straight q plus straight r to the power of negative 1 end exponent end fraction plus fraction numerator 1 over denominator 1 plus straight r plus straight p to the power of negative 1 end exponent end fraction
equals fraction numerator 1 over denominator 1 plus straight p plus pr end fraction plus fraction numerator 1 over denominator 1 plus straight q plus pq end fraction plus fraction numerator 1 over denominator 1 plus straight r plus qr end fraction
equals fraction numerator straight q over denominator straight q plus qp plus pqr end fraction plus fraction numerator 1 over denominator 1 plus straight q plus pq end fraction plus fraction numerator 1 over denominator 1 plus straight r plus qr end fraction
equals fraction numerator straight q over denominator straight q plus qp plus 1 end fraction plus fraction numerator 1 over denominator 1 plus straight q plus pq end fraction plus fraction numerator 1 over denominator 1 plus straight r plus qr end fraction space space space space space space space space space space space space space space space space space pqr equals 1
equals fraction numerator straight q plus 1 over denominator straight q plus qp plus 1 end fraction plus fraction numerator 1 over denominator 1 plus straight r plus qr end fraction
equals fraction numerator open parentheses straight q plus 1 close parentheses straight r over denominator qr plus qrp plus straight r end fraction plus fraction numerator 1 over denominator 1 plus straight r plus qr end fraction
equals fraction numerator open parentheses straight q plus 1 close parentheses straight r over denominator qr plus 1 plus straight r end fraction plus fraction numerator 1 over denominator 1 plus straight r plus qr end fraction
equals fraction numerator qr plus straight r plus 1 over denominator qr plus 1 plus straight r end fraction
equals 1 end style

Answered by Sneha shidid | 15th Nov, 2018, 02:03: PM