Q4. Define a relation R on the interval [0, π2 ) by xRy if and only if sec2 x −tan2 y = 1. Then R is : (1) both reflexive and transitive but not symmetric (2) an equivalence relation (3) reflexive but neither symmetric not transitive (4) both reflexive and symmetric but not transitive
What This Question Tests
This question requires checking the properties of reflexivity, symmetry, and transitivity for a given relation defined using a trigonometric identity over a specific interval.
Concepts Tested
Formulas Used
sec²x - tan²x = 1
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Types of Relations
- Year
- 2025
- Shift
- 29 Jan Shift 1
- Q Number
- Q4
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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