What is the answer?? 

Asked by raginee311 | 26th Nov, 2015, 01:57: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e q u a t i o n comma open vertical bar table row p b c row a q c row a b r end table close vertical bar equals 0 A p p l y i n g space R subscript 2 rightwards arrow R subscript 2 minus R subscript 1 space a n d space R subscript 3 rightwards arrow R subscript 3 minus R subscript 2 comma space w e space g e t open vertical bar table row p b c row cell a minus p end cell cell q minus b end cell 0 row cell a minus p end cell 0 cell r minus c end cell end table close vertical bar equals 0 I n t e r c h a n g i n g space R subscript 3 space a n d space R subscript 1 comma space w e space g e t comma open vertical bar table row cell a minus p end cell 0 cell r minus c end cell row cell a minus p end cell cell q minus b end cell 0 row p b c end table close vertical bar equals 0 E x p a n d i n g space t h e space d e t e r m i n a n t comma space w e space h a v e comma open parentheses a minus p close parentheses open parentheses q minus b close parentheses c plus open parentheses r minus c close parentheses open square brackets b open parentheses a minus p close parentheses minus p open parentheses q minus b close parentheses close square brackets equals 0 rightwards double arrow negative open parentheses p minus a close parentheses open parentheses q minus b close parentheses c minus p open parentheses r minus c close parentheses open parentheses q minus b close parentheses minus b open parentheses r minus c close parentheses open parentheses p minus a close parentheses equals 0 rightwards double arrow open parentheses p minus a close parentheses open parentheses q minus b close parentheses c plus p open parentheses r minus c close parentheses open parentheses q minus b close parentheses plus b open parentheses r minus c close parentheses open parentheses p minus a close parentheses equals 0 D i v i n d i n g space t h e space a b o v e space e q u a t i o n space b y space open parentheses p minus a close parentheses open parentheses q minus b close parentheses open parentheses r minus c close parentheses comma space w e space g e t comma fraction numerator c over denominator r minus c end fraction plus fraction numerator p over denominator p minus a end fraction plus fraction numerator b over denominator q minus b end fraction equals 0 rightwards double arrow fraction numerator p over denominator p minus a end fraction equals negative fraction numerator b over denominator q minus b end fraction minus fraction numerator c over denominator r minus c end fraction N o w space c o n s i d e r comma fraction numerator p over denominator p minus a end fraction plus fraction numerator q over denominator q minus b end fraction plus fraction numerator r over denominator r minus c end fraction equals negative fraction numerator b over denominator q minus b end fraction minus fraction numerator c over denominator r minus c end fraction plus fraction numerator q over denominator q minus b end fraction plus fraction numerator r over denominator r minus c end fraction rightwards double arrow fraction numerator p over denominator p minus a end fraction plus fraction numerator q over denominator q minus b end fraction plus fraction numerator r over denominator r minus c end fraction equals fraction numerator q minus b over denominator q minus b end fraction plus fraction numerator r minus c over denominator r minus c end fraction rightwards double arrow fraction numerator p over denominator p minus a end fraction plus fraction numerator q over denominator q minus b end fraction plus fraction numerator r over denominator r minus c end fraction equals 1 plus 1 rightwards double arrow fraction numerator p over denominator p minus a end fraction plus fraction numerator q over denominator q minus b end fraction plus fraction numerator r over denominator r minus c end fraction equals 2

Answered by Vimala Ramamurthy | 27th Nov, 2015, 04:25: PM

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