Q77.Let S = {x in S then : (1) n(S) = 2 and only one element in S is less then (2) n(S) = 1 and the element in S is more than 21 1 2 (3) n(S) = 1 and the element in S is less then 12 (4) n(S) = 0
What This Question Tests
The question tests the ability to apply an inverse trigonometric identity to simplify an equation and solve for x, while also considering the domain restrictions.
Concepts Tested
Formulas Used
2 tan⁻¹x = cos⁻¹((1-x²)/(1+x²))
Domain of tan⁻¹x
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
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
- Inverse Trigonometric Functions
- Topic
- Properties of inverse trigonometric functions
- Year
- 2023
- Shift
- 01 Feb Shift 2
- Q Number
- Q77
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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