Q73.The domain of the function 2 sin−1( is π cos−1( ) , , ∞) ∞) (1) (−∞, −1√2 ] ∪[ √21 ∪{0} (2) (−∞, −1√2 ] ∪[ √21 ∪( 12 , ∞) ∪{0} (4) R −{−12 , 12 } (3) (−∞, −1√2 )
What This Question Tests
This question requires finding the domain of a complex function involving inverse trigonometric functions in both numerator and denominator. It tests the constraints on the arguments of arcsin and arccos functions, and also the condition that the denominator cannot be zero.
Concepts Tested
Formulas Used
Domain of sin⁻¹(u): -1 ≤ u ≤ 1
Domain of cos⁻¹(u): -1 ≤ u ≤ 1
📚 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
- Sets Relations Functions
- Topic
- Domain of functions, Inverse trigonometric functions
- Year
- 2022
- Shift
- 29 Jun Shift 1
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions, Class 11 Mathematics Ch 2: Relations and Functions
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