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JEE Main 2006
Exam
JEE Main
Year
2006
Subject
Mathematics
Chapter
Quadratic Equation

JEE Main 2006 · Mathematics · Quadratic Equation

All the values of m for which both roots of the equations x^2-2 m...

All the values of mm for which both roots of the equations x2−2mx+m2−1=0x^2-2 m x+m^2-1=0 are greater than −2-2 but less than 4 , lie in the interval

Options

  1. A−2 < m < 0
  2. Bm > 3
  3. C−1 < m < 3
  4. D1 < m < 4

Correct answer

C. −1 < m < 3

Step-by-step solution

Equation x2−2mx+m2−1=0x^2-2 m x+m^2-1=0(x−m)2−1=0(x−m+1)(x−m−1)=0x=m−1,m+1−2<m−1 and m+1<4\begin{aligned} & (x-m)^2-1=0 \\ & (x-m+1)(x-m-1)=0 \\ & x=m-1, m+1 \\ & -2 < m-1 \text{ and } m+1 < 4 \end{aligned}$$ m>-1 and m < 3 -1 < m < 3
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