If `f(x)=3^x+4^x+5^x-6^x, then f(x)ltf(3)` for (A) only one value of x (B) no value of x (C) only two value of x (D) infinitely many value of x

If |(x^2+4x, x-1, x+3),(2x, 3x-1, 5x-1),(6x-1, 4x, 8x-2)|=ax^4+bx^3+cx^2+dx+k be an identity in x and f(x) is a continuous function which attains ony rational values and f(0)=a, then f(x)=4 (A) for no value of x (B) for all values of x (C) ony for finite number of values of x (D) ony for all non zero values of x

If the equation (lamda-1)x^2+(lamda+1)x+lamda-1=0 has real roots then lamda= (sintheta)/(costheta).(cos3theta)/(sin3theta) for (A) only one value of theta (B) for infinitely many values of theta (C) for no value of theta (D) of only two values of theta

If the equation (lamda-1)x^2+(lamda+1)x+lamda-1=0 has real roots then lamda= (sintheta)/(costheta).(cos3theta)/(sin3theta) for (A) only one value of theta (B) for infinitely many values of theta (C) for no value of theta (D) of only two values of theta

sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold for no values of x and theta (b) one value of x and two values of theta (c) two values of x and two values of theta (d) two point of values of (x ,theta)

sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold for no values of x and theta (b) one value of x and two values of theta (c) two values of x and two values of theta (d) two point of values of (x ,theta)

If f(x)=sin(3x)/sin x,x!=npi , then the range of values of f(x) for real values of x is

If f(x)=sin(3x)/sin x,x!=npi , then the range of values of f(x) for real values of x is

If f(x)=sin(3x)/sin x,x!=npi , then the range of values of f(x) for real values of x is

If f(x)=x^(3)+2x , then find the value of f(3) .

Let f(x)=[x]^(2)+[x+1]-3, where [.] denotes the greatest integer function.Then ( 1)f(x)!=0 for all real values of x(2)f(x)=0 for only two real value of x(3)f(x)=0 for infinite values of x(4)f(x)=0 for no real value of x