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 saties |x-1|+x-2|+|x-3| >= 6, then (a) 0 le x le 4 (b) x le -2x >= 4x le 0 or x >= 4 (d) none of these

The range of the function f(x)=|x-1|+|x-2|,-1lt=xlt=3, is [1,3] (b) [1,5] (c) [3,5] (d) none of these

The number of solutions of 2cosx=|sinx|,0lt=xlt=4pi, is 0 (b) 2 (c) 4 (d) infinite

If (x)= |x^2+4x-3 2x+4 13 2x^2+5x-9 4x+5 26 8x^2-6x+1 16 x-6 104|=a x^3+b x^2+c x+d , then a=3 b. b=0 c. c=0 d. none of these

If |x3 6 3 6x6x3|=|2x7x7 2 7 2x|=|4 5x5x4x4 5|=0, then x is equal to 0 b. -9 c. 3 d. none of these

tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b) 2x (c) 2/x (d) none of these

The domain of definition of the function f(x) given by the equation 2^y=2-2^x is 0

If the function f is defined as f(x) = {(3x-2,xgt3),(x^(3)-2,-2lt=xlt=2),(2x+1,xlt-2):} Then find the values, if exists f (4), f (-4), f(0), f(-7).

Let f(x)=cospix+10x+3x^2+x^3,-2lt=xlt=3. The absolute minimum value of f(x) is 0 (b) -15 (c) 3-2pi none of these

If f(x)a n dg(x) are differentiable functions for 0lt=xlt=1 such that f(0)=10 ,g(0)=2,f(1)=2,g(1)=4, then in the interval (0,1)dot (a) f^(prime)(x)=0fora l lx (b) f^(prime)(x)+4g^(prime)(x)=0 for at least one x (c) f(x)=2g'(x) for at most one x (d)none of these