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Home / Doubts and Solutions/JEE/Mathematics

Sir pls solve the following.

qsnImg
Asked by rsudipto 26th December 2018, 11:31 AM
Answered by Expert
Answer:
Use the below transfomrations :
R1 → R1 - R2 and R2 → R2 - R3
Simplifying further we get
(p - a)[r(q - b) + b(r - c)] + a(q - b)(r - c) = 0
Divide by (p - a)(q - b)(r - c) 
begin mathsize 16px style fraction numerator straight r over denominator straight r minus straight c end fraction plus fraction numerator straight b over denominator straight q minus straight b end fraction plus fraction numerator straight a over denominator straight p minus straight a end fraction equals 0 rightwards double arrow fraction numerator begin display style straight r end style over denominator begin display style straight r minus straight c end style end fraction equals negative fraction numerator begin display style straight b end style over denominator begin display style straight q minus straight b end style end fraction minus fraction numerator begin display style straight a end style over denominator begin display style straight p minus straight a end style end fraction Consider comma fraction numerator begin display style straight p end style over denominator begin display style straight p minus straight a end style end fraction plus fraction numerator begin display style straight q end style over denominator begin display style straight q minus straight b end style end fraction plus fraction numerator begin display style straight r end style over denominator begin display style straight r minus straight c end style end fraction equals fraction numerator begin display style straight p end style over denominator begin display style straight p minus straight a end style end fraction plus fraction numerator begin display style straight q end style over denominator begin display style straight q minus straight b end style end fraction minus fraction numerator begin display style straight b end style over denominator begin display style straight q minus straight b end style end fraction minus fraction numerator begin display style straight a end style over denominator begin display style straight p minus straight a end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style straight p end style over denominator begin display style straight p minus straight a end style end fraction minus fraction numerator begin display style straight a end style over denominator begin display style straight p minus straight a end style end fraction plus fraction numerator begin display style straight q end style over denominator begin display style straight q minus straight b end style end fraction minus fraction numerator begin display style straight b end style over denominator begin display style straight q minus straight b end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 plus 1 space equals space 2 end style
Answered by Expert 26th December 2018, 1:25 PM
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