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

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)=3x+|x| , then the value of f(3x)+f(-x)-f(x) is:

If f(x)=x^(2)+6 , what is the value of f(3)?

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

f(x)=x^2+1/(x^2)-6x-6/x+2 then min value of f(x)

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __

If f(x)=5x^2 -3 and f(x+a)=5x^2 + 30x + 42 , what is the value of a ?