Domain of f(x) = - | x | is -
( a )   All positive real numbers   ( b ) ( - ∞ , 0 ) (c ) ( - ∞, ∞ ) ( d ) none of these

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

Number of real roots of equation f(x)=0 is (A) 0 (B) 1 (C) 2 (D) none of these

If f(x)=|sin x-|cos x||, then the value f(x)'atx=(7 pi)/(6) is (a)positive (b) (1-sqrt(3))/(2) (c)0(d) none of these

If ax+(b)/(x)>=c for all positive x where a,b,>0, then ab =(c^(2))/(4) (c) ab>=(c)/(4) (d) none of these

Given that f'(x) > g'(x) for all real x, and f(0)=g(0). Then f(x) < g(x) for all x belong to (a) (0,oo) (b) (-oo,0) (c) (-oo,oo) (d) none of these

For the equation |x^(2)|+|x|-6=0, the sum of the real roots is 1( b) 0(c)2 (d) none of these

If a,b,c and d are different positive real numbers in H.P,then (A)ab>cd(B)ac>bd (D) none of these (C)ad>bc

Let a, b and c be fixed positive real numbers. Let f (x)=(ax)/(b+cx) for x le 1 . Then as x increases,

Let f be a continuous,differentiable,and bijective function.If the tangent to y=f(x) at x=a is also the normal to y=f(x) at x=b ,then there exists at least one c in(a,b) such that f'(c)=0 (b) f'(c)>0f'(c)<0 (d) none of these

If f(a+b+1-x)=f(x) , for all x where a and b are fixed positive real numbers, the (1)/(a+b) int_(a)^(b) x(f(x)+f(x+1) dx is equal to :