Optional Mathematics
ऐच्छिक गणित
Algebra (Functions, Polynomials, Linear Programming), Limit & Continuity, Matrix (Determinants, Inverse, Cramer Rule), Coordinate Geometry, Trigonometry (Compound & Multiple angles), Vectors, Transformation, and Statistics.
Prescribed Chapters
Showing 8 LessonsAlgebra
Algebra
बीजगणित
Functions (domain, range, composite, inverse), polynomial division, remainder and factor theorem, linear programming, quadratic equations and graphs.
Limit and Continuity
Limit and Continuity
सीमा र निरन्तरता
Concept of limit, indeterminate forms (0/0), algebraic limits evaluation, and continuity/discontinuity of piecewise functions at a point.
Matrix
Matrix
म्याट्रिक्स
Determinants of 2x2 and 3x3 matrices, singular vs non-singular, matrix inverse, solving simultaneous linear equations by Cramer Rule and Matrix Method.
Coordinate Geometry
Coordinate Geometry
निर्देशाङ्क ज्यामिति
Angle between two straight lines, homogeneous equation of second degree representing pair of lines passing through origin, condition for perpendicularity and coincidence, and circle equations.
Trigonometry (Optional)
Trigonometry (Optional)
त्रिकोणमिति (ऐच्छिक)
Compound angles, multiple angles (2A, 3A), sub-multiple angles (A/2), transformation of products into sums/differences, conditional trigonometric identities, and trigonometric equations.
Vector
Vector
भ्याक्टर
Scalar (dot) product of two vectors, angle between vectors, vector geometry theorems (Pythagoras theorem, angle in semicircle is 90°, midpoint theorem).
Transformation (Geometry)
Transformation (Geometry)
स्थान्तरण
Combined transformations, reflection across lines, rotation about origin or point (h, k), enlargement/reduction with center and scale factor, and 2x2 matrix transformation.
Statistics (Optional)
Statistics (Optional)
तथ्याङ्कशास्त्र (ऐच्छिक)
Measures of dispersion, range, quartile deviation and its coefficient, mean deviation from mean and median with its coefficient, standard deviation and variance.