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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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Trigonometric Identities Class 10 Maths Notes
Trigonometric identities Class 10 Maths notes for 2024-25: the proof of sin²A + cos²A = 1 from a right triangle, its rearrangements, and how to use it to evaluate expressions and find missing ratios.
Triangles Class 10 Maths Notes
Triangles Class 10 Maths notes for the 2024-25 rationalised syllabus: similar triangles, the Basic Proportionality Theorem and its converse, and the three similarity criteria with worked examples.
Surface Areas and Volumes Class 10 Maths Notes
Surface areas and volumes Class 10 notes: CSA and TSA for cube, cuboid, sphere, hemisphere, cylinder and cone, the two-solid combinations rule, and worked numericals.
Statistics Class 10 Maths Notes
Statistics Class 10 notes for 2024-25: mean by the direct method, median from the cumulative frequency column, and mode by the empirical relation, with every symbol defined.
Some Applications of Trigonometry Class 10 Maths Notes
Heights and distances Class 10 Maths notes for 2024-25: angle of elevation and angle of depression, why they reverse, the two-triangle method, and fully worked problems solved to exact answers.
Real Numbers Class 10 Maths Notes
Real numbers Class 10 notes: rational and irrational numbers, the Fundamental Theorem of Arithmetic, and complete proofs that √2, √3 and √5 are irrational.
Quadratic Equations Class 10 Maths Notes
Quadratic equations Class 10 notes: solving ax² + bx + c = 0 by factorisation and by the quadratic formula, the discriminant and the nature of roots, and day-to-day problems.
Probability Class 10 Maths Notes
Probability Class 10 notes for 2024-25: the classical definition, P(E) as favourable over total, impossible and certain events, and worked die, coin, card and slip problems.
Polynomials Class 10 Maths Notes
Polynomials Class 10 notes: the degree of a polynomial, what a zero means on the graph, zeros of a quadratic by factorisation, and zeros versus coefficients.
Pair of Linear Equations Class 10 Maths Notes
Pair of linear equations Class 10 notes: the graphical method, consistency of a pair, the conditions for zero, one or many solutions, substitution and elimination.
Introduction to Trigonometry Class 10 Maths Notes
Introduction to trigonometry Class 10 Maths notes for 2024-25: the six ratios with the opposite, adjacent and hypotenuse convention, values at 0° and 90°, the 30-45-60 table, and how to pick a ratio.
Coordinate Geometry Class 10 Maths Notes
Coordinate geometry Class 10 Maths notes for 2024-25: graphs of linear equations, the distance formula with worked examples, and the section formula for internal division.
Circles Class 10 Maths Notes
Circle class 10 maths notes for 2024-25: what a tangent is, tangent-radius perpendicularity, equal tangents from an external point, and the standard numerical.
Arithmetic Progressions Class 10 Maths Notes
Arithmetic progressions Class 10 notes: common difference, the nth term, both forms of the sum of the first n terms, and daily-life applications with solved answers.
Areas Related to Circles Class 10 Maths Notes
Areas related to circles Class 10 notes: circumference, area, sector and segment areas, combinations of plane figures, and fully worked numericals using π = 22/7.
Class 10 Maths Notes
CBSE Class 10 Mathematics notes for the 2024-25 rationalised syllabus: all 15 assessed chapters, unit-wise marks, the formulas that carry the paper, and every topic the rationalisation deleted.
Probability Class 12 Notes
Class 12 Maths Probability notes: conditional probability, the multiplication theorem, Bayes' theorem, random variables and their distributions, and Bernoulli trials — with key formulas for CBSE and JEE.
Linear Programming Class 12 Notes
Class 12 Maths Linear Programming notes: objective functions, constraints, feasible regions and the corner point method to maximise or minimise an LPP — with solved examples for CBSE and JEE.
Three Dimensional Geometry Class 12 Notes
Class 12 Maths Three Dimensional Geometry notes: direction cosines and ratios, equations of lines and planes, distances and angles between them — with key formulas and solved examples for CBSE and JEE.
Vector Algebra Class 12 Notes
Class 12 Maths Vector Algebra notes: position vectors, dot and cross products, projection and their geometric meaning — with key formulas and solved examples for CBSE and JEE.
Differential Equations Class 12 Notes
Class 12 Maths Differential Equations notes: order and degree, variable-separable equations, homogeneous equations, and first-order linear differential equations with integrating factor — with key formulas for CBSE and JEE.
Application of Integrals Class 12 Notes
Class 12 Maths Application of Integrals notes: area under a curve, area between two curves and bounded regions using definite integrals — with worked examples for CBSE and JEE.
Integrals Class 12 Notes
Class 12 Maths Integrals notes: indefinite and definite integrals, substitution, integration by parts, partial fractions and the fundamental theorem of calculus — with key formulas for CBSE and JEE.
Application of Derivatives Class 12 Notes
Class 12 Maths Application of Derivatives notes: rate of change, increasing and decreasing functions, tangents and normals, and maxima and minima with the first and second derivative tests for CBSE and JEE.
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