Syllabus
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Course Code: B-MAT 505 Course Name: Analytical Geometry |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | General equation of second degree: Classification of conic sections; centre, asymptotes, axes, eccentricity, foci and directrices of conics. Tangent at any point to the conic, chord of contact, pole of line to the conic, director circle of conic. Polar equation of a conic, tangent and normal to the conic. | |
| 2 | System of conics. Confocal conics. Sphere: General form, Plane section of a sphere. Sphere through a given circle. Intersection of two spheres, tangent plane and line, polar plane and line, orthogonal spheres. |
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| 3 | Cone: Equation of a cone, right circular cone, quadric cone, enveloping cone. Tangent plane and
condition of tangency. Cylinder: Right circular cylinder and enveloping cylinder |
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| 4 | Central Conicoids: Equation of tangent plane. Director sphere. Normal to the conicoids. Polar plane of a point. Paraboloids. | |
