JEE Main20248 Apr 2024Evening ShiftMathematicsDeterminantsActual

If a , b , c and | array lll & b & c a & & c a & b & array |=0 , then a - a + b - b + - c is equal to:

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Correct answer

B. 0

Step-by-step solution

aligned & R ₁ R ₁- R ₂, R ₂ R ₂- R ₃ & | array ccc - a & b - & 0 0 & - b & c - a & b & array |=0 & ( - a )( ( - b )- b ( c - ))-( b - )(- a ( c - ))=0 & ( - a )( - b )- b ( - a )( c - )+ a ( b - )( c - ) & - c + b - b + a - a =0 aligned

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