Maharashtra Class 9 Answered

a/b+c-a=b/c+a-b=c/a+b-cand a+b+c is unequal to 0 then prove that a=b=c

Asked by mecatf | 17 Mar, 2019, 10:25: AM

Expert Answer

begin mathsize 12px style I f space space p over q space equals space r over s space equals space t over u space space t h e n space w e space h a v e space space space p over q space equals space r over s space equals space t over u space equals space fraction numerator p plus r plus t over denominator q plus s plus u end fraction h e n c e space fraction numerator a over denominator b plus c minus a end fraction space equals space fraction numerator b over denominator c plus a minus b end fraction space equals space fraction numerator c over denominator a plus b minus c end fraction space equals space fraction numerator a plus b plus c over denominator a plus b plus c end fraction space equals space 1 t h e n space fraction numerator a over denominator b plus c minus a end fraction space equals space 1 space space space space o r space space 2 a space equals space b plus c space space............. left parenthesis 1 right parenthesis t h e n space fraction numerator b over denominator c plus a minus b end fraction space equals space 1 space space o r space space 2 space b space equals space c space plus a space space............. left parenthesis 2 right parenthesis t h e n space fraction numerator c over denominator a plus b minus c end fraction space equals space 1 space space o r space space 2 c space equals space a space plus b space space.............. left parenthesis 3 right parenthesis i n space e q n. left parenthesis 1 right parenthesis comma space i f space w e space s u b s t i t u t e space f o r space b space u sin g space e q n. space left parenthesis 2 right parenthesis comma space w e space g e t space comma space space space 2 a space equals space fraction numerator c plus a over denominator 2 end fraction plus c space space space space space space space space space space space o r space space space space space space space space space space space space space 3 over 2 space c space equals space 3 over 2 a space space space space space space space space space space space space space space space space space space o r space space space space space space space space space space space space space space space space space space c space equals space a space S i m i l a r l y space i n space e q n. left parenthesis 1 right parenthesis comma space i f space w e space s u b s t i t u t e space f o r space c space u sin g space e q n. left parenthesis 3 right parenthesis comma space w e space g e t space comma space space a space equals space b h e n c e space a space equals space b space equals space c end style

Answered by Thiyagarajan K | 17 Mar, 2019, 01:12: PM

Maharashtra Class 9 Answered

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Maharashtra Class 9 Answered

Concept Videos

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Rational and Irrational Numbers

Remainder Theorem

Factorisation: Factor Theorem

Substitution Method

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