Verified Solution • 2025–26 Session
moderate
QJEEM19Madcc2: JEE Main 2019 Mathematics - Class 11 JEEM19Madcc2 Solution: The number of integral values of m for which the quadratic…
The number of integral values of m for which the quadratic expression, (1 + 2m)x2 – 2(1 + 3m)x + 4(1 + m), x R, is always positive, is :
Multiple Choice Options
- A 7
- B 8
- C 3
- D 6
Step-by-Step Verified Solution
Expression is always positive it
2m + 1 > 0 m > &
D < 0 m2 6m 3 < 0
3 < m < 3 + . . . . (iii)
Common interval is
3 < m < 3 +
Intgral value of m {0, 1, 2, 3, 4, 5, 6}
2m + 1 > 0 m > &
D < 0 m2 6m 3 < 0
3 < m < 3 + . . . . (iii)
Common interval is
3 < m < 3 +
Intgral value of m {0, 1, 2, 3, 4, 5, 6}