Which of the following determinants have value 'zero'? 1. | array lll 41 & 1 & 5 79 & 7 & 9 29 & 5 & 3 array | 2. | array lll 1 & a & b + c 1 & ~b & c + a 1 & c & a + b array | 3. | array ccc 0 & c & b - c & 0 & a - b & - a & 0 array | Select the correct answer using the code given below.

Step-by-step solution

1. aligned | array lll 41 & 1 & 5 79 & 7 & 9 29 & 5 & 3 array | & = | array lll 40 & 1 & 5 72 & 7 & 9 24 & 5 & 3 array | C₁ C₁-C₂ & =8 | array lll 5 & 1 & 5 9 & 7 & 9 3 & 5 & 3 array |=0 aligned two columns are same so value of determinant is zero. 2. aligned | array lll 1 & a & b+c 1 & b & c+a 1 & c & a+b array | & = | array lll 1 & a+b+c & b+c 1 & a+b+c & c+a 1 & a+b+c & a+b array | C₂ C₂+C₃ & =(a+b+c) | array lll 1 & 1 & b+c 1 & 1 & c+a 1 & 1 & a+b array |=0 aligned two columns are same so value of determinant i