Question
Let , be the roots of the quadratic equation 12 x^ 2 -20 x+3 =0, Z . If 1 2 | - | 3 2 , then the sum of all possible values of is :
JEE Main
Mathematics
Quadratic Equation
2026
JEE Main 2026 (22 January Shift 2)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 1
- B. 6
- C. 3
- D. 4
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.
Related: Mathematics — Quadratic Equation · All PYQ Banks