Tamil Nadu Board of Secondary EducationHSC Science Class 11

# If A × A has 16 elements, S = {(a, b) ∈ A × A : a < b} ; (−1, 2) and (0, 1) are two elements of S, then find the remaining elements of S - Mathematics

Sum

If A × A has 16 elements, S = {(a, b) ∈ A × A : a < b} ; (−1, 2) and (0, 1) are two elements of S, then find the remaining elements of S

#### Solution

Given A × A has 16 elements.

∴ A has 4 elements.

Also S = {(a, b) ∈ A × A: a < b}

Given (−1, 2) and (0, 1) ∈ S

A = {−1, 0, 1, 2}

The elements of S are

S = {(−1, 0), (−1, 1), (−1, 2), (0, 1), (0, 2), (1, 2)}

∴ The other elements of the sets are

((− 1, 0), (− 1, 1), (0, 2), (1, 2)}

Concept: Introduction to Sets, Relations and Functions
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Chapter 1: Sets, Relations and Functions - Exercise 1.1 [Page 9]

#### APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 1 Sets, Relations and Functions
Exercise 1.1 | Q 10 | Page 9
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