Algebra
This section includes CBSE test papers for class 11 mathematics.The topics covered are Principle of Mathematical Induction, Processes of the proof by induction, motivating the application of the method by looking at natural numbers. Complex Numbers and Quadratic Equations, Brief description of algebraic properties of complex numbers. Linear Inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line. Permutations & Combinations, Binomial Theorem, Sequence and Series, Arithmetic progression (A. P.). arithmetic mean (A.M.) Geometric progression (G.P.) etc.
Calculus
Limits and Derivatives: Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Coordinate Geometry
This section includes CBSE test papers for class 11 mathematics. The topics covered are Straight Lines, Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line, Conic Sections, Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section, Introduction to Three -dimensional Geometry, Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies","and/or", "implied by", "and", "or", "there exists" and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words-difference between contradiction, converse and contrapositive.
Mixed Text Papers
This section includes CBSE Test Papers for mathematics class 12th. The test papers have been arranged unit wise. The units covered are Sets,Relations & Functions, Trigonometric Functions, Principle of Mathematical Induction, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations & Combinations, Binomial Theorem, Sequence and Series, Straight Lines, Conic Sections, Introduction to Three -dimensional Geometry, Limits and Derivatives, Mathematical Reasoning, Statistics and Probability.
Sets and Functions
This section covers CBSE test papers on Sets and their representations, Subsets of the set of real numbers, Union and Intersection of sets, Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets, Definition of relation, pictorial diagrams, Sum, difference, product and quotients of functions, Positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle.
Statistics and Probability
Measure of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances. Random experiments: outcomes, sample spaces (set representation). Events: occurrence of events, 'not', 'and' and 'or' events,Probability of an event, probability of 'not', 'and' & 'or' events.
This section includes CBSE test papers for class 11 mathematics.The topics covered are Principle of Mathematical Induction, Processes of the proof by induction, motivating the application of the method by looking at natural numbers. Complex Numbers and Quadratic Equations, Brief description of algebraic properties of complex numbers. Linear Inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line. Permutations & Combinations, Binomial Theorem, Sequence and Series, Arithmetic progression (A. P.). arithmetic mean (A.M.) Geometric progression (G.P.) etc.
Calculus
Limits and Derivatives: Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Coordinate Geometry
This section includes CBSE test papers for class 11 mathematics. The topics covered are Straight Lines, Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line, Conic Sections, Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section, Introduction to Three -dimensional Geometry, Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies","and/or", "implied by", "and", "or", "there exists" and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words-difference between contradiction, converse and contrapositive.
Mixed Text Papers
This section includes CBSE Test Papers for mathematics class 12th. The test papers have been arranged unit wise. The units covered are Sets,Relations & Functions, Trigonometric Functions, Principle of Mathematical Induction, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations & Combinations, Binomial Theorem, Sequence and Series, Straight Lines, Conic Sections, Introduction to Three -dimensional Geometry, Limits and Derivatives, Mathematical Reasoning, Statistics and Probability.
Sets and Functions
This section covers CBSE test papers on Sets and their representations, Subsets of the set of real numbers, Union and Intersection of sets, Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets, Definition of relation, pictorial diagrams, Sum, difference, product and quotients of functions, Positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle.
Statistics and Probability
Measure of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of frequency distributions with equal means but different variances. Random experiments: outcomes, sample spaces (set representation). Events: occurrence of events, 'not', 'and' and 'or' events,Probability of an event, probability of 'not', 'and' & 'or' events.
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