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

If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x),x in (0,pi/2) , then (a) -3/2lt=ylt=1/2 (b) 1lt=ylt=1/2 (c) -5/3lt=ylt=1 (d) none of these

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin((pix)/2) (c) f(x)=sin((pix)/4) (d) none of these

Which of the following is not the quadratic equation whose roots are cos e c^2thetaa n dsec^2theta? (a) x^2-6x+6=0 (b) x^2-7x+7=0 (c) x^2-4x+4=0 (d) none of these

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

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)=0 for a 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

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

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (c) -1 (d) none of these

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

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