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NDA2016MathematicsQuadratic EquationActual

If both the roots of the equation x^2-2 k x+k^2-4=0 lie between -3 and 5 , then which one of the following is correct?

Options

  1. A-2 k 2
  2. B-5 k 3
  3. C-3 k 5
  4. D-1 k 3

Correct answer

D. -1 k 3

Step-by-step solution

x ^2-2 kx + k ^2-4=0 array ll & ( x - k )^2-2^2=0 & ( x - k -2)( x - k +2)=0 & x = k +2, k -2 & k +2 5 & k -2 -3 & k 3 & k -1 & -1 k 3 array

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