#### Syllabus:

Complex numbers as ordered pairs. Argand's diagram. Triangle inequaility.
De Moivre's Theorem.

Algebra: Quadratic equations and expressions. Permutations and combinations.
Binomial theorem for a positive integral index.

Coordinate Geometry: Locus, Straight lines. Equations of circle, parabola,
ellipse and hyerbola in standard forms. Parametric representation.

Vectors: Addition of vectors. Multiplication by a scalar. Scalar product,
cross product and scalar triple product with geometrical applications.

Matrices and Determinants: Algebra of matrices. Determinants and their
properties. Inverse of a matrix. Cramer's rule.

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