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JEE Class main Answered

Pls help with theis question

Asked by dakshitak2002 | 05 May, 2020, 07:32: AM
Expert Answer
To prove:-
|0 c b  //  c 0 a  //  b a 0|2 = |b2+c2 ab ac // ab c2+a2 bc // ac bc a2+b2|
W e space k n o w space t h a t comma space d e t open parentheses A B close parentheses equals d e t open parentheses A close parentheses space d e t open parentheses B close parentheses space... space left parenthesis i right parenthesis
L e t space A equals open square brackets table row 0 c b row c 0 a row b a 0 end table close square brackets
open vertical bar table row 0 c b row c 0 a row b a 0 end table close vertical bar equals d e t open parentheses A close parentheses
open vertical bar table row 0 c b row c 0 a row b a 0 end table close vertical bar squared equals open square brackets d e t open parentheses A close parentheses close square brackets squared subscript blank
U sin g space left parenthesis i right parenthesis
open square brackets d e t open parentheses A close parentheses close square brackets squared equals d e t open parentheses A close parentheses space d e t open parentheses A close parentheses equals d e t open parentheses A A close parentheses equals d e t open parentheses A squared close parentheses
A squared equals open square brackets table row 0 c b row c 0 a row b a 0 end table close square brackets open square brackets table row 0 c b row c 0 a row b a 0 end table close square brackets equals open square brackets table row cell c squared plus b squared end cell cell a b end cell cell a c end cell row cell a b end cell cell c squared plus a squared end cell cell b c end cell row cell a c end cell cell b c end cell cell b squared plus a squared end cell end table close square brackets equals open square brackets table row cell b squared plus c squared end cell cell a b end cell cell a c end cell row cell a b end cell cell c squared plus a squared end cell cell b c end cell row cell a c end cell cell b c end cell cell a squared plus b squared end cell end table close square brackets
H e n c e comma space open vertical bar table row 0 c b row c 0 a row b a 0 end table close vertical bar squared equals open vertical bar table row cell b squared plus c squared end cell cell a b end cell cell a c end cell row cell a b end cell cell c squared plus a squared end cell cell b c end cell row cell a c end cell cell b c end cell cell a squared plus b squared end cell end table close vertical bar
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