(1) If `| [a+x ,a ,x ],[a-x, a ,x], [a-x, a ,-x] |=0` then `x` is

Select and write the correct answer from the given alternatives in each of the following:If |(a+x,a,x),(a-x,a,x),(a-x,a,-x)|=0 ,then x is

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

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

Using properties of determinants, solve for x:|[a+x, a-x, a-x], [a-x, a+x, a-x], [a-x, a-x ,a+x]|=0

Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-x, a+x, a-x],[ a-x, a-x, a+x]|=0

Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-x, a+x, a-x],[ a-x, a-x, a+x]|=0

Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

If |(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x)|=0 then x=

If f(x) = |(sin x, cos x , tan x),(x^3, x^2 ,x),(2x, 1,x)| then Lim_(x to 0) (f(x))/(x^2) equals