The value of `|[x,1,1] , [0,1+x,1] , [-y,1+x,1+x]|=`

The non zero value of x , if |[-x,1,0],[1,-x,1],[0,1,-x]|=0 is

Find the value of x if, /_\ = |[x^(2),1,x],[0,3,-1],[x,-1,1]|=0

Find the value of x if i) |[x^(2)-x+1,x+1],[x+1,x+1]|=0

The value of (1)/(x-y)|[1,0,0],[3,x^(3),1],[5,y^(3),1]| is -

The value of [(x/(y)-1)/(1-x/y)]

Solve the following:Find the value of x |(x-1,x+1,x+1),(x+1,x-1,x+1),(x+1,x+1,x-1)|=0

If D=|[1, 1, 1], [1, 1+x, 1], [1, 1, 1+y]| for x!=0, y!=0 then D is (1) divisible by neither x nor y (2) divisible by both x and y (3) divisible by x but not y (4) divisible by y but not x

Value of the determinant |(x,1,1),(0,1+x, 1),(-y, 1+x, 1+y)| is (A) xy (B) xy(x+2) (C) x(x+1)(y+1) (D) xy(x+1)

Value of the determinant |(x,1,1),(0,1+x, 1),(-y, 1+x, 1+y)| is (A) xy (B) xy(x+2) (C) x(x+1)(y+1) (D) xy(x+1)

if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.