Q84.If the area (in sq. units) bounded by the parabola y2 = 4λx and the line y = λx, λ > 0, is 91 , then λ is equal to (1) 4√3 (2) 2√6 (3) 48 (4) 24
What This Question Tests
This question requires finding the area bounded by a parabola and a line by determining their intersection points and then setting up and evaluating a definite integral, or using the direct formula for such area.
Concepts Tested
Formulas Used
Area = ∫(y_upper - y_lower) dx
Standard formula for area between y²=4ax and y=mx: (8/3)a²/m³
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area bounded by curves
- Year
- 2019
- Shift
- 12 Apr Shift 2
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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