Numbers and Quantification — Revision Notes
CBSE · Class 11 · Applied Mathematics
Numbers and Quantification revision notes for CBSE Class 11 Applied Mathematics: 4 topics in quick points. Includes Prime Numbers and Their Properties.
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Key Topics to Revise
Prime Numbers and Their Properties
- A prime number p > 1 has only 1 and p as positive divisors
- Composite numbers have divisors other than 1 and themselves
- 1 is neither prime nor composite
RSA Cryptography and Applications
- RSA uses large prime numbers for secure communication
- Based on difficulty of factoring large composite numbers
- Uses Euler's theorem: a^φ(m) ≡ 1 (mod m) when gcd(a,m) = 1
Binary Number System
- Binary uses only digits 0 and 1 (base 2)
- Each position represents a power of 2
- Computers use binary internally for all operations
Complex Numbers (Preliminary)
- Complex numbers extend real numbers to include √(-1)
- i² = -1, i³ = -i, i⁴ = 1 (pattern repeats every 4 powers)
- Standard form: z = a + bi where a,b ∈ ℝ
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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