Q62.If both the roots of the quadratic equation x2 −mx + 4 = 0 are real and distinct and they lie in the interval (1, 5), then m lies in the interval: Note: In the actual JEE paper interval was [1, 5] (1) (−5, −4) (2) (3, 4) (3) (5, 6) (4) (4, 5)
What This Question Tests
This problem requires applying multiple conditions (discriminant, function values at boundaries, and vertex position) to determine the range of a parameter for which roots lie in a specified interval.
Concepts Tested
Formulas Used
D > 0
f(k) > 0 for interval boundary k
vertex x-coordinate -b/2a
📚 NCERT Sections This Tests
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Location of roots
- Year
- 2019
- Shift
- 09 Jan Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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