Find the integral value of `x` , if `|[x^2,x,1],[ 0, 2, 1],[ 3, 1, 4]|=28` .

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

Find the value of x if |[2, 1 ,x+1],[-1,3,-4],[0,-5,3]|=0

If |[1, x, x^2], [x, x^2, 1], [x^2, 1, x]|=3, then find the value of |[x^3-1, 0, x-x^4], [0, x-x^4, x^3-1], [x-x^4, x^3-1, 0]|

Find the value of x such that [(1,x,1)][(1, 3, 2),( 2, 5, 1), (15, 3, 2)][(1),( 2),(x)]=0

Find the number of integral values of 'a' for which ax^2 - (3a + 2)x + 2(a + 1) < 0, a != 0 holds exactly four integral value of x.

Find the value of x, if [1x1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),(x):}]=0

Find the value of int_0^1 2x^3-3x^2-x+1 3dxdot

Find the integral values of a for which (a+2)x^2+2(a+1)x+a=0 will have both roots integers

Find the values of x if the points (2x, 2x), (3, 2x + 1) and (1, 0) are collinear.

Find x, if [x-5-1][[1, 0 ,2 ],[0,2, 1 ],[2 ,0 ,3]][[x],[4] ,[1]]=O .