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Mathematics Class 11 & 12 Notes
Chapter-wise Class 11 and 12 physics, chemistry, maths and biology notes from Narayan Gurukul Academy, Mohali — real formulas rendered properly, exam pointers, and worked numericals for CBSE, JEE and NEET. All notes are free to read and download, no signup required. New chapters are added regularly.
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45 notes in Mathematics
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Continuity and Differentiability Class 12 Notes
Class 12 Maths Continuity and Differentiability notes: limits and continuity, differentiability, chain, product and quotient rules, logarithmic and parametric differentiation — with key formulas for CBSE and JEE.
Determinants Class 12 Notes
Class 12 Maths Determinants notes: expansion of order 2 and 3 determinants, properties, minors and cofactors, adjoint and inverse, and solving linear equations with Cramer's rule for CBSE and JEE.
Matrices Class 12 Notes
Class 12 Maths Matrices notes: types of matrices, addition and scalar multiplication, matrix multiplication, transpose, symmetric and skew-symmetric matrices, and invertibility — with key formulas for CBSE and JEE.
Inverse Trigonometric Functions Class 12 Notes
Class 12 Maths Inverse Trigonometric Functions notes: principal value branches, domain and range of sin⁻¹, cos⁻¹, tan⁻¹, and the standard identities and properties for CBSE and JEE.
Relations and Functions Class 12 Notes
Class 12 Maths Relations and Functions notes: types of relations, one-one and onto functions, composition of functions, invertible functions and binary operations — with key formulas for CBSE and JEE.
Probability Class 11 Notes
Probability class 11 notes: random experiments, sample space, events, axioms, complementary events, addition theorem and mutually exclusive events — with solved examples for CBSE and JEE.
Statistics Class 11 Notes
Statistics class 11 notes: range, mean deviation, variance, standard deviation, short-cut method, combined mean and coefficient of variation — with solved examples for CBSE, JEE and NEET.
Limits and Derivatives Class 11 Notes
Limits and derivatives class 11 notes: limits, continuity, derivative from first principle, algebra of derivatives and standard derivatives — with key formulas for CBSE, JEE and NEET.
Three Dimensional Geometry Class 11 Notes
Class 11 Maths Three Dimensional Geometry notes: coordinate axes and planes, distance formula, section formula, direction cosines and ratios, and angle between two lines — with key formulas for CBSE and JEE.
Conic Sections Class 11 Notes
Class 11 Maths Conic Sections notes: circle, parabola, ellipse and hyperbola — standard equations, focus, directrix, eccentricity and latus rectum — with key formulas for CBSE and JEE.
Straight Lines Class 11 Maths Notes
Free Straight Lines Class 11 Maths notes PDF: slope of a line, conditions for parallel and perpendicular lines, all forms of the equation of a line, angle between two lines, and distance formulas — with mark-wise question banks, solved examples and mock tests for CBSE, JEE & NEET. No signup required.
Sequences and Series Class 11 Notes
Class 11 Maths Sequences and Series notes: arithmetic and geometric progressions, nth term and sum formulas, AM and GM, sum of special series — with key formulas for CBSE, JEE and NEET.
Binomial Theorem Class 11 Notes
Class 11 Maths Binomial Theorem notes: binomial expansion, general term, middle term, properties of binomial coefficients, Pascal's triangle and applications — with key formulas for CBSE, JEE and NEET.
Permutations and Combinations Class 11 Notes
Class 11 Maths Permutations and Combinations notes: fundamental principle of counting, factorial, permutations, combinations, nPr and nCr, circular permutations and identical objects — with key formulas for CBSE, JEE and NEET.
Linear Inequalities Class 11 Notes
Class 11 Maths Linear Inequalities notes: solving linear inequalities in one and two variables, rules for manipulation, absolute-value inequalities, graphical solution of systems — with key formulas for CBSE, JEE and NEET.
Complex Numbers Class 11 Notes
Complex numbers class 11 notes from NCERT Chapter 4: the imaginary unit i, operations on complex numbers, conjugate and modulus, the Argand plane, polar form and cube roots of unity — with key formulas and solved examples for CBSE, JEE and NEET.
Trigonometric Functions Class 11 Notes
Trigonometric functions class 11 notes from NCERT Chapter 3: degree–radian conversion, the six ratios, compound, double and half-angle formulas, trigonometric equations and the sine and cosine rules — with key formulas and solved examples for CBSE, JEE and NEET.
Relations and Functions Class 11 Notes
Relations and functions class 11 notes from NCERT Chapter 2: Cartesian products, domain, codomain and range, types of functions, real functions like modulus and greatest integer, and algebra of functions — with formulas and solved examples for CBSE, JEE and NEET.
Sets Class 11 Notes
Sets class 11 notes from NCERT Chapter 1: roster and set-builder representation, types of sets, subsets, power sets, union, intersection, complement and Venn diagrams — with cardinality formulas and solved examples for CBSE, JEE and NEET.
Class 11 Maths Notes (Chapter-Wise for CBSE & JEE)
Complete Class 11 Maths notes chapter-wise in NCERT order: sets, relations and functions, trigonometric functions, complex numbers, linear inequalities, permutations and combinations, binomial theorem, sequences and series, straight lines, conic sections, three dimensional geometry, limits and derivatives, statistics and probability — key formulas for CBSE boards and JEE.
Class 12 Maths Notes (Chapter-Wise for CBSE & JEE)
Complete Class 12 Maths notes chapter-wise in NCERT order: relations and functions, inverse trigonometric functions, matrices and determinants, continuity and differentiability, application of derivatives, integrals, application of integrals, differential equations, vector algebra, three dimensional geometry, linear programming and probability — key formulas for CBSE boards and JEE.
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