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AP EAMCET202421 May 2024Morning ShiftMathematicsQuadratic EquationActual

If A= [ array lll 2 & 3 & 4 1 & k & 2 4 & 1 & 5 array ] is singular matrix, then the quadratic equation having the roots k and 1 k is

Options

  1. A6 x^2+13 x+6=0
  2. B12 x^2-25 x+12=0
  3. C6 x^2-13 x+6=0
  4. D2 x^2-5 x+2=0

Correct answer

C. 6 x^2-13 x+6=0

Step-by-step solution

| array lll 2 & 3 & 4 1 & k & 2 4 & 1 & 5 array |=0 aligned & 2(5 k-2)-3 (-3)+4(1-4 k)=0 & k= 3 2 aligned Required quadratic equation aligned & (x- 3 2 ) (x- 2 3 )=0 & x^2- 13 6 x+1=0 6 x^2-13 x+6=0 aligned

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