5.If x<0,then |x| is equal to

x_(1),x_(2),x_(3)"…." are in A.P. If x_(1)+x_(7)+x_(10)=-6 and x_(3)+x_(8)+x_(12)=-11 , then x_(3)+x_(8)+x_(22) =

Consider f(x)=|x||x-1|x-2|x-3|AA x in[1,2] and g(x)=|x|+|x1|+|x-2|+|x-3|AA xe in(-oo,oo) If max.f(x)=lambda min g(x) at x=x_(a) then (lambda+x_(a)) 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

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

If 5{x}=x+[x] and [x]-{x}=(1)/(2) when {x} and [x] are fractional and integral part of x then x is

If f(x) is continuous at x=a,a>0, where f(x)=[(a^x-x^a)/(x^x-a^a), for x!=a, -1 for x=a, then a=

" If "f(x)=|[x,sin x,cos x],[x^(2),tan x,-x^(3)],[2x,sin2x,5x]|" ,then "lim_(x rarr0)(f'(x))/(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)

If (x)={-x,x>0 and x,x<0=0,x=0 then test the continuity of f(x) at x=0