Uttar Pradesh Board Class 11 Mathematics — Flashcards for Quick Revision

A: Step 1: List all elements from both sets A = {2, 4, 6, 8} B = {1, 2, 3, 4} Step 2: Combine all elements, taking common elements only once A ∪ B = {1, 2, 3, 4, 6, 8} Answer: A ∪ B = {1, 2, 3, 4, 6, 8

A: Step 1: Write A in roster form Prime numbers < 10: A = {2, 3, 5, 7} Step 2: Write B in roster form Odd numbers < 10: B = {1, 3, 5, 7, 9} Step 3: Find common elements A ∩ B = {3, 5, 7} Answer: A ∩ B

A: Step 1: Identify the universal set U U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Step 2: Identify set A A = {2, 4, 6, 8} Step 3: Find A' (complement of A) A' = elements in U but not in A A' = {1, 3, 5, 7, 9

A: Step 1: Cartesian product means all ordered pairs (a,b) where a ∈ A and b ∈ B. Step 2: From A = {1, 2}, first element can be 1 or 2. Step 3: From B = {x, y, z}, second element can be x, y, or z. Step

A: Step 1: Use the formula n(A × B) = n(A) × n(B) Step 2: Given n(A) = 3 and n(B) = 4 Step 3: n(A × B) = 3 × 4 = 12 Answer: 12 ordered pairs Note: This works because each element in A pairs with each ele

A: Step 1: Check definition of equal ordered pairs: (a,b) = (c,d) if and only if a = c and b = d Step 2: For (2,3) = (3,2), we need first elements equal and second elements equal Step 3: First elements:

A: The word 'trigonometry' is derived from the Greek words 'trigon' (triangle) and 'metron' (measuring). It literally means 'measuring the sides of a triangle'. Originally developed to solve geometric pr

A: An angle is a measure of rotation of a given ray about its initial point. Components: (1) Initial side - the original ray, (2) Terminal side - final position after rotation, (3) Vertex - point of rota

A: If a rotation from initial side to terminal side is 1/360th of a complete revolution, the angle has a measure of one degree (1°). Subdivisions: 1° = 60 minutes (60'), 1' = 60 seconds (60''). This syst