If `x` satifies `|x-1|+|x-2|+|x-3|geq6,` then (a)`0lt=xlt=4` (b). `xlt=-2orgeq4` (c). `xlt=0orxgeq4` (d). None of these

If x satisfies |x-1|+x|x-2|+|x-3|ge6 , then A) 0 lexle4 B) xle-2 or xge4 C) x le0 or x ge4 , D) none of these

Let f(x)=[|x|-|x-1|]^(2) What is f'(x) equal to when 0lt xlt1 ?

The roots of the equation a x^2+b x+c=0, a in R^+, are two consecutive odd positive (A) |b|lt=4a (B) |b|geq4a (C) |b|geq2a (D) none of these

The absolute value of |x-2|+|x+2| , if 0lt xlt 2 is

Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi

The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar for (A) all values of x (B) xlt0 (C) xgt0 (D) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Given f(x)={2x,xlt0, 0,xge0}"then "f(x) is

What is the sign of cos( x/2) – sin(x/2) when (i) 0lt x lt pi/4 (ii) (pi)/(2)lt xlt pi