Q72.The domain of the function cosec−1 ( 1+xx ) is : (1) [−12 , ∞) −{0} (2) (−1, −12 ] ∪(0, ∞) (3) [−12 , 0) ∪[1, ∞) (4) (−12 , ∞) −{0}
What This Question Tests
This question requires applying the standard domain condition for the inverse cosecant function, which involves solving an inequality with a rational expression.
Concepts Tested
Formulas Used
Domain of cosec⁻¹(y) is |y| ≥ 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.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
2.1 — Arrange The Following Metals In The Order In Which They Displace Each Other
Chemistry Class 11 · Chapter 2
2.1 Arrange the following metals in the order in which they displace each other from the solution of their salts. Al, Cu, Fe, Mg and Zn.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Domain of inverse trigonometric functions
- Year
- 2021
- Shift
- 26 Aug Shift 2
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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