All the values of `m` for which both roots of the equation `x^(2)-2mx+m^(2)-1=0` are greater than `-2` but less then 4 lie in the interval

Options

A. `(-2, 0)`
B. `(3, oo)`
C. `(-1, 3)`
D. (1, 4)

Answer

C

Explanation

We have, `x^(2) - 2mx + m^(2) -1 = 0`
`rArr" "(x-m)^(2) = 1 rArr x - m = +- 1 rArr x = m +-1`
We have, `-2 lt m - 1 lt 4 and -2 lt m + 1 lt 4`
`rArr" "-1 lt m lt 5 and -3 lt m lt 3 rArr -1 lt m lt 3`