QB365 covers complete information about Tamilnadu 11th Standard - old 2022-2023 Maths / கணிதம் Subject. Question Bank includes 11th Standard - old 2022-2023 Maths / கணிதம்'s Book back questions, other important questions, Creative questions, Extra questions, PTA quesions, Previous Year questions and other key points also. All question with detailed answers are readily available for preparting Maths / கணிதம் question papers.
Matrices and Determinants
Vector Algebra
Algebra
Sequence and Series
Analytical Geometry
Trigonometry
Functions and Graphs
Differential Calculus
Integral Calculus
Probability
Matrix Algebra – Definitions, types, operations, algebraic properties. Determinants − Definitions, properties, evaluation, factor method, product of determinants, co-factor determinants.
Definitions, types, addition, subtraction, scalar multiplication, properties, position vector, resolution of a vector in two and three dimensions, direction cosines and direction ratios.
Partial Fractions − Definitions, linear factors, none of which is repeated, some of which are repeated, quadratic factors (none of which is repeated). Permutations − Principles of counting, concept, permutation of objects not all distinct, permutation when objects can repeat, circular permutations. Combinations, Mathematical induction, Binomial theorem for positive integral index−finding middle and particular terms.
Definitions, special types of sequences and series, harmonic progression, arithmetic mean, geometric mean, harmonic mean. Binomial theorem for rational number other than positive integer, Binomial series, approximation, summation of Binomial series, Exponential series, Logarithmic series (simple problems).
Locus, straight lines – normal form, parametric form, general form, perpendicular distance from a point, family of straight lines, angle between two straight lines, pair of straight lines. Circle − general equation, parametric form, tangent equation, length of the tangent, condition for tangent. Equation of chord of contact of tangents from a point, family of circles – concetric circles, orthogonal circles.
Trigonometrical ratios and identities, signs of T-ratios, compound angles A ± B, multiple angles 2A, 3A, sub multiple (half) angle A/2, transformation of a product into a sum or difference, conditional identities, trigonometrical equations, properties of triangles, solution of triangles (SSS, SAA and SAS types only), inverse trigonometrical functions.
Constants, variables, intervals, neighbourhood of a point, Cartesian product, relation. Function − graph of a function, vertical line test. Types of functions − Onto, one-to-one, identity, inverse, composition of functions, sum, difference product, quotient of two functions, constant function, linear function, polynomial function, rational function, exponential function, reciprocal function, absolute value function, greatest integer function, least integer function, signum function, odd and even functions, trigonometrical functions, quadratic functions. Quadratic inequation − Domain and range.
Limit of a function − Concept, fundamental results, important limits, Continuity of a function − at a point, in an interval, discontinuous function. Concept of Differentiation − derivatives, slope, relation between continuity and differentiation. Differentiation techniques − first principle, standard formulae, product rule, quotient rule, chain rule, inverse functions, method of substitution, parametric functions, implicit function, third order derivatives.
Concept, integral as anti-derivative, integration of linear functions, properties of integrals. Methods of integration − decomposition method, substitution method, integration by parts. Definite integrals − integration as summation, simple problems.
Classical definitions, axioms, basic theorems, conditional probability, total probability of an event, Baye’s theorem (statement only), simple problems.
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