Let S denote the set of all real values ...

Let S denote the set of all real values of a for which the roots of the equation `x^(2) - 2ax + a^(2) - 1 = 0` lie between 5 and 10, then S equals

A

`(-1, 2)`

B

(2, 9)

C

(4, 9)

D

(6, 9)

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Find the set of all values of a for which the roots of the equation x^(2)-2ax+a^(2)+a-3=0 are less than 3

Let S denotes the set of real values of 'a' for which the roots of the equation x^2-ax-a^2 = 0 exceeds 'a', then S equals to

The set of values of 'a' for which the roots of the equation (a-3)x^(2) - 2ax + 5a = 0 are positive, is

The values of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1 are given by

The value of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1, will always be greater than

If both roots of the equation x^(2)-2ax+a^(2)-1=0 lie between (-2,2) then a lies in the interval

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

For what real values of a do the roots of the equation x^(2)-2x-(a^(2)-1)=0 lie between the roots of the equation x^(2)-2(a+1)x+a(a-1)=0

Complete set of real values of 'a' for which the equation x^(4)-2ax^(2)+x+a^(2)-a=0 has all its roots real