If for all real x `(x+a)/(x^2+b x+c^2)` cannot lie between two limits, then:

If for all real x(x+a)/(x^(2)+bx+c^(2)) cannot lie between two limits,then:

If x be real and 0

IF a=(x^2-2x+4)/(x^2+2x+4) and equation of lines AB and CD be 3y=x and y=3x respectively, then for all real x, point P(a,a^2) (A) lies in the acute angle between lines AB and CD (B) lies in the obtuse angle between lines AB and CD (C) cannot be in the acute angle between lines AB and CD (D) cannot lie in the obtuse angle between lines AB and CD

fx be real,prove that the value of (2x^(2)-2x+4)/(x^(2)-4x+3) cannot lie between -7 and 1

11x?+12x+6 For real values of x ,prove that x^(2)+4x+2cannot lie between -5 and 3 .

9Prove that the values of the function (sin x cos3x)/(sin3x cos x) cannot lie between (1)/(3) and 3 for any real x

If x is real and (x^(2)+2x+c)/(x^(2)+4x+3c) can take all real values,of then show that 0<=c<=1

If x is real, prove that the value of the expression ((x-1)(x+3))/((x-2)(x+4) cannot be between 4/9 and 1.