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

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

If a ,b ,c are distinct positive numbers, then the nature of roots of the equation 1//(x-a)+1//(x-b)+1//(x-c)=1//x is Option a) all real and is distinct Option b) all real and at least two are distinct Option c) at least two real Option d) all non-real

If x in R ,a n da ,b ,c are in ascending or descending order of magnitude, show that (x-a)(x-c)//(x-b)(w h e r ex!=b) can assume any real value.

If a ,b ,c ,d are four consecutive terms of an increasing A.P., then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 are a. non-real complex b. real and equal c. integers d. real and distinct

Let sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have any value provided a lies between 1 and 7.

If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum of all real values of x is equal to (A) 6 (B) 3 (C) 0 (D) 2

Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always a. positive b. real c. negative d. none of these

Find the complete set of values of a such that (x^2-x)//(1-a x) attains all real values.