Q87.Let ๐ด= { - 4, - 3, - 2, 0, 1, 3, 4} and ๐ = { ( ๐, ๐) โ๐ดร ๐ด : ๐= | ๐| or ๐2 = ๐+ 1 be a relation on ๐ด. Then the minimum number of elements, that must be added to the relation ๐ so that it becomes reflexive and symmetric, is
What This Question Tests
This question tests the understanding of reflexive and symmetric relations. It requires careful construction of the given relation R and then identifying the minimum elements needed to satisfy reflexivity and symmetry.
Concepts Tested
Formulas Used
Reflexive: (a, a) โ R for all a โ A
Symmetric: (a, b) โ R โ (b, a) โ R
๐ NCERT Sections This Tests
8.17 โ Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 ยท Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
14.1 โ In An N-Type Silicon, Which Of The Following Statement Is True:
Physics Class 12 ยท Chapter 14
14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
๐ Question Details
- Chapter
- Sets Relations Functions
- Topic
- Types of Relations (Reflexive, Symmetric)
- Year
- 2023
- Shift
- 13 Apr Shift 2
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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