Q72.The domain of the function, 𝑓𝑥= sin-13𝑥2 + cos-1 2 ( 𝑥- 1 𝑥+ 1 ) 1 1 (1) 0, (2) 0, 2 4 (3) 1 1 ∪0 (4) -2, 0 ∪1 1 4, 2 4, 2
What This Question Tests
This question tests the understanding of the domain restrictions for inverse sine and inverse cosine functions, requiring the solution of inequalities and finding the intersection of the resulting intervals.
Concepts Tested
Formulas Used
-1 ≤ x ≤ 1 (domain of sin⁻¹(x) and cos⁻¹(x))
📚 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.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Domain of inverse trigonometric functions
- Year
- 2021
- Shift
- 31 Aug Shift 2
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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