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JEE Main202622 January 2026Evening ShiftMathematicsQuadratic EquationActual

Let , be the roots of the quadratic equation 12 x²-20 x+3 =0, Z . If 1 2 | - | 3 2 , then the sum of all possible values of is :

Options

  1. A1
  2. B6
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

For 12x^2-20x+3 =0 : + = 5 3 , = 4 . | - |= 25-9 3 Given 1 2 25-9 3 3 2 9 4 25-9 81 4 From left: 91 36 2.53 From right: 19 36 0.53 Since Z : 1,2 . Sum =3 .

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