Q83.The area of the region given by {(x, y) : xy ≤8, 1 ≤y ≤x2} is : (1) 8 loge 2 −133 (2) 16 loge 2 −143 (3) 8 loge 2 + 76 (4) 16 loge 2 + 37
What This Question Tests
The problem asks for the area of a region bounded by three curves, requiring finding intersection points and splitting the area into parts to be integrated with respect to x.
Concepts Tested
Formulas Used
Area = ∫ y dx
Intersection of y=1, y=x², y=8/x
📚 NCERT Sections This Tests
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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.
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13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Area under curves
- Year
- 2023
- Shift
- 01 Feb Shift 2
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 8: Application of Integrals
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