Question

the set of exhaustive values of m for which both roots of the equation x²-2mx + m² - 1 = 0 are greater than -2 but less than 1, is

please help me out ​

Answer 1

Answer:

Correct option is

C

−1<m<3

Given equation x

2

−2mx+m

2

−1=0

⇒(x−m)

2

−1=0⇒(x−m−1)(x−m+1)=0

⇒x=m−1,m+1⇒−2<m−1 and m+1<4

m>−1 and m<3 ⇒−1<m<3