Geometric Sequence

 






















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Syllabus

1.       Algebra

·         Functions: Composite Function, Inverse Function, and Arrow-diagram

·         Polynomials: Remainder Theorem, Factor Theorem, Uses of Remainder and Factor Theorem

·         Sequence and Series: Arithmetic Sequence and Geometric Sequence

·         System of Linear Inequalities and Linear Programming

·         Quadratic Equations and Graph

2.       Limit and Continuity: Check for continuity and discontinuity

3.       Matrix: Determinant, Inversion of a matrix, Cramer's Rule

4.       Co-ordinate Geometry

·         Angle between two lines

·         Pair of straight lines

·         Conic Sections

·         Circle

5.       Trigonometry

·         Multiple Angles

·         Sub-multiple Angles

·         Transformation of trigonometric Identities

·         Conditional Identities

·         Trigonometric equation

·         Height and distance

6.       Vectors

·         Scalar Product/ Dot product

·         Vector Geometry

·         Theorems on triangles, quadrilaterals, and semicircles

7.       Transformation

·         Combination of transformation

·         Inversion transformation and Inversion Circle

·         Transformation using matrices

8.       Statistics

·         Mean Deviation

·         Quartile Deviation and its Coefficients

·         Standard Deviation


Sujit Prasad Kushwaha

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