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JEE Main2006MathematicsQuadratic EquationActual

All the values of m for which both roots of the equations x^2-2 m x+m^2-1=0 are greater than -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 x^2-2 m x+m^2-1=0 aligned & (x-m)^2-1=0 & (x-m+1)(x-m-1)=0 & x=m-1, m+1 & -2 -1 and m < 3-1 < m < 3

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