Q23.If the set of all values of a, for which the equation 5x3 −15x −a = 0 has three distinct real roots, is the interval (α, β), then β −2α is equal to ______
What This Question Tests
This question assesses the application of calculus to determine the range of a parameter for which a cubic equation has three distinct real roots, requiring knowledge of local extrema.
Concepts Tested
Formulas Used
f'(x) = 0 for critical points
f(x₁) * f(x₂) < 0 for three distinct real roots
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Maxima and Minima
- Year
- 2025
- Shift
- 23 Jan Shift 1
- Q Number
- Q23
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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