CU *C *C, C, 18. The determinant 'C...
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CU *C *C, C, 18. The determinant 'C YC C, is equal to- *C, CC,

JEE/Engineering Exams
Maths
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( left|begin{array}{ccc}x_{1} & x_{1} & x_{2} y_{1} & y_{2} & y z_{1} & z_{2} & z_{3} y_{2} & z_{3} & z & x & xleft(frac{x-1}{2}right. & frac{x(x-1)(x-2)}{6} y & y(y-1) & x y(y-1)(y-2) 2 & frac{2(z-1)}{2} & frac{2(2-1)(z-2)}{6}end{array}right| ) ( left.begin{array}{c|ccc}x y z & 1 & x-1 & (x-1)(x-2) 12 & 1 & y-1 & (y-1)(y-2) 1 & 2-1 & (z-1)(z-2)end{array}right) ) ( C_{3} rightarrow C_{3}+C_{2} quad(operatorname{los} 4)_{2}+Q_{1} ) begin{tabular}{c|ccc} ( x y z ) & 1 & ( x-1 ) & ( (x-1)^{2} ) hline 12 & 1 & ( y-1 ) & ( (y-1)^{2} ) 1 & ( y-1 ) & ( (z-1)^{2} ) end{tabular} ( =frac{x y z}{12} times(x-y)(y-z)(z-x) quadleft[begin{array}{ll}1 & a & a^{2} 1 & b cdot b^{2} 1 & c & c^{2}end{array} mid=(a-b)(b-x)(c-a)right. )
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