Skip to main content
Super TutorResources
Chapter 2 of 10
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Flashcards

Relations and Functions - I

NIOS · Class 12 · Mathematics

Flashcards for Relations and Functions - I — NIOS Class 12 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

44 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Relations and Functions - I? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

A visual representation of a relation R from set A to set B as a subset of the Cartesian product A x B, showing elements of A mapped to elements of B.
Super Tutor

This is just one of 12+ visuals inside Super Tutor's Relations and Functions - I chapter

Explore the full set
25 Flashcards
Card 1Cartesian Product

If A = {1, 2, 3} and B = {a, b}, find n(A × B) and verify using the formula.

Answer

Formula: n(A × B) = n(A) × n(B) Step 1: Identify n(A) = 3 elements Step 2: Identify n(B) = 2 elements Step 3: Apply formula: n(A × B) = 3 × 2 = 6 Verification by listing: A × B = {(1,a), (1,b), (2,a…

Card 2Cartesian Product

Let A = {2, 3, 4} and B = {5, 6}. Find A × B and B × A. Is A × B = B × A?

Answer

Step 1: Find A × B (first element from A, second from B) A × B = {(2,5), (2,6), (3,5), (3,6), (4,5), (4,6)} Step 2: Find B × A (first element from B, second from A) B × A = {(5,2), (5,3), (5,4), (6,2…

Card 3Cartesian Product

Given A = {1, 3, 5}, B = {2, 4, 6}, C = {1, 4}. Find A × (B ∪ C).

Answer

Step 1: Find B ∪ C (union of B and C) B = {2, 4, 6}, C = {1, 4} B ∪ C = {1, 2, 4, 6} (combine all elements, count 4 only once) Step 2: Find A × (B ∪ C) A × (B ∪ C) = {(1,1), (1,2), (1,4), (1,6), (3,1…

Card 4Cartesian Product

Given A = {4, 5, 6, 7} and B = {8, 9}. Verify that A × (B - C) = (A × B) - (A × C) where C = {10}.

Answer

Step 1: Find B - C B = {8, 9}, C = {10} B - C = {8, 9} (no element of C is in B) Step 2: Find A × (B - C) A × (B - C) = {(4,8), (4,9), (5,8), (5,9), (6,8), (6,9), (7,8), (7,9)} Step 3: Find A × B an…

Card 5Relations

Define relation R from A = {2, 4, 6, 8} to B = {2, 3, 4, 5} by R = {(a,b): a ∈ A, b ∈ B and a is divisible by b}. Find R in roster form, domain, and range.

Answer

Step 1: Check each pair (a,b) where a is divisible by b - (2,2): 2÷2=1 ✓ - (2,3): 2÷3 ✗ - (2,4): 2÷4 ✗ - (2,5): 2÷5 ✗ - (4,2): 4÷2=2 ✓ - (4,3): 4÷3 ✗ - (4,4): 4÷4=1 ✓ - (4,5): 4÷5 ✗ - (6,2): 6÷2=3 ✓ -…

Card 6Relations

Given R = {(x,y): 4x + y = 12, x,y ∈ ℕ}, find R in roster form, domain, and range.

Answer

Step 1: Rearrange equation 4x + y = 12 y = 12 - 4x Step 2: Find valid pairs (x,y) where x,y ∈ ℕ (natural numbers: 1,2,3,...) - If x = 1: y = 12 - 4(1) = 8 ✓ - If x = 2: y = 12 - 4(2) = 4 ✓ - If x = 3…

Card 7Functions - Definition and Identification

Which of these relations is a function? Explain why or why not. (a) {(1,-2), (3,7), (4,-6), (8,1)}, A={1,3,4,8}, B={-2,7,-6,1,2} (b) {(1,0), (1,-1), (2,3), (4,10)}, A={1,2,4}, B={0,-1,3,10}

Answer

For a relation to be a function: ✓ Every element in domain must have exactly ONE image ✗ No element can map to multiple elements (a) {(1,-2), (3,7), (4,-6), (8,1)} Check: 1→-2, 3→7, 4→-6, 8→1 Each el…

Card 8Functions - Definition and Identification

Which of these relations from ℝ to ℝ represent functions? (a) y = 3x + 2 (b) y < x + 3 (c) y² = x

Answer

Rule: For each x ∈ domain, there must be exactly ONE y value (a) y = 3x + 2 For any real value x, there is exactly ONE corresponding y value Example: x=1 → y=3(1)+2=5 (only one answer) This IS a func…

+17 more flashcards available

Practice All

Frequently Asked Questions

What are the important topics in Relations and Functions - I for NIOS Class 12 Mathematics?
Key topics in Relations and Functions - I include Relations and Functions - Complete Concept Overview, Relations and Functions: Concept Hierarchy, Mind map showing the hierarchical structure of all major topics in Relations and Functions chapter. These are the concepts NIOS Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Relations and Functions - I — NIOS Class 12 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Relations and Functions - I?
There are 25 flashcards for Relations and Functions - I covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Relations and Functions - I

All 10 chapters — NIOS Class 12 Mathematics Flashcards

For serious students

Get the full Relations and Functions - I chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for NIOS Class 12 Mathematics.

Try Super Tutor Free
Try the full chapter — Free