Q72.If 𝑎= sin−1sin5 and 𝑏= cos−1cos5, then 𝑎2 + 𝑏2 is equal to (1) 4𝜋2 + 25 (2) 8𝜋2 −40𝜋+ 50 (3) 4𝜋2 −20𝜋+ 50 (4) 25
What This Question Tests
This question tests the understanding of the principal value branches for inverse sine and cosine functions and the ability to convert given angles to their respective ranges.
Concepts Tested
Formulas Used
sin⁻¹(sinx) = x (for x in [-π/2, π/2])
cos⁻¹(cosx) = x (for x in [0, π])
📚 NCERT Sections This Tests
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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
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12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
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2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Principal values of inverse trigonometric functions
- Year
- 2024
- Shift
- 31 Jan Shift 2
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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