'X' will be

If |(a +x,a -x,a -x),(a -x,a +x,a -x),(a -x,a -x,a +x)| = 0 , then x is equal to

If |{:(alpha,x,x,x),(x,beta,x,x),(x,x,gamma,x),(x,x,x,delta):}| =f(x)-xf'(x) then f(x) is equal to

x^(x sqrt(x))=(x sqrt(x))^(x), then x is equal to

IF rank of ((x,x,x),(x,x^2,x),(x,x,x+1)) is 1 , then

Evaluate the following determinant abs((x+lamda,x,x),(x,x+lamda,x),(x,x,x+lamda))

Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]| = 0 a ne 0

If a gt 1", then "(a^(x)-x^(-x))/(a^(x)+a^(-x))=

The factor of x^8 + x^4 +1 are (A) (x^4 + 1 - x^2), (x^2 +1 +x), (x^2 + 1 - x ) (B) x^4 + 1 -x^2 , (x^2 - 1 + x), (x^2 +1 + x) (C ) (x^4 - 1 + x^2, (x^2 - 1 + x), (x^2 + 1 + x) (D) (x^4 -1 + x^2), (x^2 + 1 - x), (x^2 + 1 +x)