f(x)=((x-1)(x-4))/(x-a)) will assume all...

`f(x)=((x-1)(x-4))/(x-a))` will assume all real values provided

A

`altbltc`

B

`agtbgtc`

C

c lies between a and

D

none of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

For real x, the function ((x-a)(x-b))/(x-c) will assume all real values provided a)agtbgtc b)altbltc c) agtc ltb d) a le c le b

For real x, the function (x-a)(x-b)/(x-c) will assume all real values provided

Number of integral values of 'a for which the expression (x^(2)-ax+11)/(x^(2)-5x+4) can assume all real values is

f(x)=sqrt((1)/(3-x-|x-3|)) is defined for (A) all real values of x (B) no real value of x (C) xgt3 (D) xlt3

Prove that if x is real, the expression ((x-a)(x-c))/(x-b) is capable of assuming all values if agtbgtc or altbltc .

If (x^(2)+ax+3)/(x^(2)+x+a) , takes all real values for possible real values of x, then

Show that the expression (px^(2)+3x-4)/(p+3x-4x^(2)) will be capable of all values when x is real,provided that p has any value between 1 and 7.