If a+x=b+y=c+z+1, where a,b,c,x,y,z are non-zero distinct real numbers, then vmatrixx&a+y&x+a\ y&b+y&y+b\ z&c+y&z+c vmatrix is equal to:

Question

Accepted Answer

Correct answer: B. (b) JEE Main 2020 (xa+yx+ayb+yy+bzc+yz+c)=(xax+ayby+bzcz+c)+y(x1x+ay1y+bz1z+c) =0+y(x1x+ay-x00z-x0-1)R_2 R_2-R_1R_3 R_3-R_1 =-y(x-y)=-y(b-a) =y(a-b)

$If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then x y z a + y b + y c + y x + a y + b z + c is equal to:$

Solution

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