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Part A : Matrices – 1. Basics of Matrices; 2. Rank of a Matrix; 3. Inverse of a Matrix; 4. Linear Equations; 5. Eigenvalues and Eigenvectors of a Matrix; Differential Equations – 1. Differential Equation of First Order and First Degree; 2. Differential Equation of First Order and Higher Degree; 3. Orthogonal Trajectories; 4. Linear Differential Equations with Constant Coefficients; Part-B : Geoemtry – 1. General Equation of Second Degree; 2. Tracing of Conics; 3. Confocal Conics; 4. Polar Equation of a Conic; 5. Three Dimensional System of Co-ordinates; 6. Direction Cosines and Angle Between Two Lines; 7. The Plane; 8. The Straight Line; 9. The Sphere; 10. The Cone; 11. The Cylinder; 12. The Central Conicoids; 13. Plane Section of Central Conicoids; 14. Reduction of General Equation of Second Degree; 15. Generating Lines

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