Optional Mathematics

ऐच्छिक गणित (कक्षा ९)

Functions, Polynomials, Matrix operations, Coordinate Geometry (lines, angles between lines), Trigonometric compound angles and identities, Vectors, and Geometric Transformations per CDC Specification Table.

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Prescribed Chapters

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Unit 1

Functions, Polynomials & Matrix Operations

1 Lesson

Lesson 1Syllabus Mapped1 Solved Q&A

Functions, Polynomials & Matrix Operations

फलन, बहुपदीय व्यञ्जक तथा म्याट्रिक्स सञ्चालनहरू

Domain and range of functions, types of functions (one-to-one, onto), synthetic division of polynomials, remainder theorem, factor theorem, matrix addition, multiplication, and 2x2 determinants.

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Unit 2

Coordinate Geometry: Straight Lines & Angles

1 Lesson

Lesson 2Syllabus Mapped

Coordinate Geometry: Straight Lines & Angles

निर्देशांक ज्यामिति: सरल रेखाहरू र कोणहरू

Slope of line, equation of lines in various forms (slope-intercept, double-intercept, perpendicular form), angle between two straight lines, and conditions for parallelism and perpendicularity.

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Unit 3

Trigonometry: Compound Angles & Transformations

1 Lesson

Lesson 3Syllabus Mapped

Trigonometry: Compound Angles & Transformations

त्रिकोणमिति: संयुक्त कोणहरू र रूपान्तरण सूत्रहरू

Trigonometric ratios of compound angles sin(A±B), cos(A±B), tan(A±B), multiple angles 2A, 3A, and transformation of products into sums/differences.

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