Maharashtra Class 9 Answered

15a2+4b2/15a2_4b2=47/7,find the value of a/b

Asked by urmibiswas01 | 05 Dec, 2018, 10:23: PM

Expert Answer

begin mathsize 12px style I space a s s u m e space t h e space q u e s t i o n space i s space fraction numerator 15 a squared plus 4 b squared over denominator 15 a squared space minus space 4 b squared end fraction space equals space 47 over 7 space a n d space w e space n e e d space t o space f i n d space a over b l e t space space fraction numerator 15 a squared plus 4 b squared over denominator 15 a squared space minus space 4 b squared end fraction space equals space fraction numerator m plus n over denominator m minus n end fraction space equals space 47 over 7 space space............ left parenthesis 1 right parenthesis l e t space u s space s o l v e space t h e space f o l l o w i n g space e q u a t i o n s space a n d space g e t space v a l u e s space o f space m space a n d space n m plus n space equals space 47 space space.......... left parenthesis 2 right parenthesis m space minus space n space equals space 7 space........... left parenthesis 3 right parenthesis a d d space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis space t o space g e t space 2 m space equals space 54 space space o r space m space equals space 27 semicolon space s u b s t i t u t e space m space i n space e q n. left parenthesis 2 right parenthesis space t o space g e t space n space equals space 20 h e n c e space e q n. left parenthesis 1 right parenthesis space i s space r e w r i t t e n space a s space space fraction numerator 15 a squared plus 4 b squared over denominator 15 a squared space minus space 4 b squared end fraction space equals space fraction numerator 27 plus 20 over denominator 27 minus 20 end fraction space........... left parenthesis 4 right parenthesis i f space p over q equals r over s space comma space t h e n space fraction numerator p plus q over denominator p minus q end fraction equals fraction numerator r plus s over denominator r minus s end fraction space space........... left parenthesis 5 right parenthesis U sin g space t h e space r u l e space g i v e n space i n space e q n. left parenthesis 5 right parenthesis comma space e q n. left parenthesis 4 right parenthesis space c a n space b e space w r i t t e n space a s space fraction numerator 15 a squared over denominator 4 b squared end fraction space equals space 27 over 20 a squared over b squared space equals space fraction numerator 4 cross times 27 over denominator 15 cross times 20 end fraction space equals space 9 over 25 space space o r space space a over b space equals space 3 over 5 end style

Answered by Thiyagarajan K | 06 Dec, 2018, 04:25: AM

Maharashtra Class 9 Answered

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Maharashtra Class 9 Answered

Concept Videos

Rational Numbers ...

Rational and Irrational Numbers

Remainder Theorem

Factorisation: Factor Theorem

Substitution Method

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