If `[[x,1]] [[1,0],[-2,0]] =0` then `x` is equal to

If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),( -1,-2,x-3,1),(2,0,4,x^(2)-6) :}] is 0 then x is equal to

If A=[[1, 2, x], [0 ,1 ,0],[ 0, 0, 1]] and B=[[1,-2,y],[0, 1, 0 ],[0, 0, 1]] and A B=I_3 , then x+y equals (a) 0 (b) -1 (c) 2 (d) none of these

If x=10.0pm0.1 and y=10.0pm0.1 , then 2x-2y is equal to

If f(x)={{:(x + 1, x gt 1),(0",", x=1 "then f'(0) equal to "),(7-3x"," , x lt 1):}

lim_(x->0) (Cosx -1)/x is equal to

If f(x)=|(0,x^2-sinx,cosx-2),(sinx-x^2,0,1-2x),(2-cosx,2x-1,0)|, then int f(x) dx is equal to

Consider the function defined on [0,1] rarr R , f(x) =(sinx- xcosx)/(x^(2)), if x ne 0 and f(0) =0 int _(0)^(1)f(x) is equal to

If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0,sin y),(0,1,0),(-sin y,0,cos y)] , then [F(x) G(y)]^(-1) is equal to

If f(x)={{:((1-cospx)/(xsinx)",",x ne0),((1)/(2)",",x=0):} is continuous at x=0 then p is equal to