Appendix 1: Proofs in Mathematics
CBSE · Class 12 · Mathematics
All formulas from Appendix 1: Proofs in Mathematics in CBSE Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Core idea of proof
Proof = chain of deductive statements
Two ways of proving a proposition: directly and indirectly
Direct proof methods
x^2 - 5x + 6 = x^2 - 3x - 2x + 6 = x(x - 3) - 2(x - 3) = (x - 3)(x - 2)
f(x_1) = f(x_2) \Rightarrow x_1 = x_2
Indirect proof methods
~q \Rightarrow ~p
A^{-1} = \frac{adj A}{|A|}
Important examples and exam patterns
f(x) = 2x + 5
\u03c6(x) = |x|
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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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