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Need for complex numbers, especially −1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system, Square-root of a

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5. Complex Numbers and Quadratic Equations: Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of

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MATHEMATICS Course Structure Units Topics Marks 1 Sets and Functions 29 2 Algebra 37 3 Co-ordinate Geometry 13 4 Calculus 6 5 Mathematical Reasoning 3 6 Statistics and Probability 12 Total 100 Course Syllabus Unit-I: Sets and Functions Chapter 1: Sets Sets and their representations Empty set Finite and Infinite sets Equal sets. Subsets Subsets of a set of real numbers especially intervals ...

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West Bengal Board Class 11 Mathematics ... especially -1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Square-root of a complex number, Cube roots of ...

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Class - XI (Science) 11 3. Introduction to Three-dimensional Geometry (10 Periods) Coordinate axes and coordinate planes in three dimensions. Coordinate of a point. Distance between two points and section formula. 2. Complex Numbers and Quadratic Equations (15 Periods) Need for complex numbers, especially √–1, to be motivated

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Mathematics Class 11 Syllabus Course Structure Unit Topic Marks I. Sets and Functions 29 II. Algebra 37 III. Co-ordinate Geometry 13 IV. Calculus 6 V. Mathematical Reasoning 3 VI. Statistics and Probability 12 Total 100 Unit-I: Sets and Functions Sets: Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals ...

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Suggestive Activities for Class XI Activity 1-To find the number of subsets of a given set and verify that if a set has n number of elements, then the total number of subsets is 2n. Activity 2-To verify that for two sets A and B, n (A×B) = pq and the total number of relations from A to B is 2pq, where n(A) = p and n(B) = q.

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COMPLEX NUMBERS AND QUADRATIC EQUATIONS 75 4. For any complex number z = x + iy, there exists a complex number 1, i.e., (1 + 0 i) such that z. 1 = 1 .z = z, known as identity element for multiplication. 5. For any non zero complex number z = x + i y, there exists a complex number 1 z such that 1 1 z z⋅ = ⋅ =1 z z, i.e., multiplicative inverse of a + ib = 2 2

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weekly syllabus of mathematics for class- xi mont h date tota l days content july 2/7/12 to 7/7/12 6 sets: sets and their representations. types of sets subsets of a set, power set, universal set, algebra of sets, properties of complement of a set. applicationof sets. 9/7/12 to 13/7/12 weekly tes 5 relation and functions: ordered pair, cartesian product of sets. number of elements in cartesian ...

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quadratic equations (with real coefficients) in the complex number system. Square root of a complex number. 3. Linear Inequalities (15) Periods Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of

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