CBSE Class 11 Applied Mathematics — Flashcards for Quick Revision

A: A prime number is a positive integer p > 1 that has exactly two positive divisors: 1 and p itself. Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23. Note: 2 is the only even prime number.

A: Every positive integer n > 1 can be written as a product of primes, and this representation is unique up to the order of primes. Form: n = p₁^a₁ × p₂^a₂ × ... × pᵣ^aᵣ where p₁ < p₂ < ... < pᵣ are dist

A: If 1 were considered prime, it would violate the uniqueness part of the Fundamental Theorem of Arithmetic. For example, 10 = 2 × 5 = 1 × 2 × 5 = 1² × 2 × 5, giving multiple factorizations. Since 1 has

A: Average (Mean) = Sum of all observations / Total number of observations Average represents a calculated central value of given data and is a measure of central tendency. It lies between the maximum a

A: Weighted average considers that some elements carry more weight than others. Weighted Average (x̄w) = Σⁿᵢ₌₁ wᵢxᵢ / Σⁿᵢ₌₁ wᵢ where wᵢ = weight of iᵗʰ element, xᵢ = value of iᵗʰ element Example: Grad

A: Average Speed = Total distance travelled / Total time taken (direction independent) Average Velocity = Total displacement / Total time taken (direction dependent) Key difference: Average speed canno