Question

All the values of m for which both roots of the equation x² - 2mx + m² -1 = 0 are greater than – 2 but less than 4, lie in the interval
(a) -2 < m < 0
(b) m > 3
(c) -1 < m < 3
(d) 1 < m < 4

Answer 1

Answer:

option (C) is correct

Step-by-step explanation:

Given equation is

$x^2-2mx+m^2-1=0$

$x^2-2mx+m^2=1$

$(x-m)^2=1$

$x-m=1$ or $x-m=-1$

$x=m+1,m-1$

The roots are m+1 and m-1

As per given data,

-2< m+1 < 4

-3< m < 3.........(1)

&

-2< m-1 < 4

-1< m < 5..........(2)

From (1) and (2) the value of m satisfying the given conditioin is

-1 < m < 3

Answer 2

Answer:

answer is 3rd option

plz MARK as BRAINLIST