9:40 AM
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Contents |
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Unit-I Transformation of
Co-ordinates (4) 1.1
Translation of axes 1.2
Rotation of axes 1.3Combination
of translation and rotation of axes 1.4 Invariants
in orthogonal transformation |
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Unit-II Parabola (5 ) 2.1
Definition of Parabola 2.2 Equation of parabola in standard form 2.3
General equation of parabola 2.4
Equation of tangent and normal 2.5
Condition of tangency 2.6
Pair of tangents from an external point |
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Unit-III Ellipse (6) 3.1
Definition of ellipse. 3.2Standard
form of ellipse 3.3 Nature of the curve given by: 3.4 Position of a point with respect to an
ellipse 3.5
Auxiliary circle of the ellipse 3.6
Eccentric angle 3.7
Chord joining two points 3.8
Tangent and normal 3.9Equation of tangent from an external point 3.10
Pair of tangents from an external point |
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Unit: IV Hyperbola(4) 4.1 Definition 4.2Equation of hyperbola 4.3Nature of the curve 4.4 Rectangular hyperbola 4.5
Asymptotes of hyperbola and its equations |
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Unit-V Coordinates in space (6) 5.1
Coordinates of a point in space 5.2
Distance between two points 5.3
Section formula 5.4
Angle between two lines 5.5
Direction cosines of a line 5.6
Direction ratios of a line 5.7
Angle between two lines 5.8
Projections 5.9 Cylindrical
and spherical coordinates |
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Unit-VI Plane
(8) 6.1Linear
equation of a plane 6.2Equation
of plane in intercept form and the equation of normal 6.3Angle
between two planes 6.4 Angle
between a line and a plane 6.5
Plane through three points 6.6Plane
through the intersection of two planes 6.7Two
sides of a plane 6.8Length
of perpendicular from a point to a plane 6.9Bisectors
of angles between two planes 6.10
Pair of planes 6.11Conditions
for homogeneous second degree equation to represent a pair of planes 6.12Angle
between two planes represented by a second degree homogeneous equation. |
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Unit-VII Straight Lines (8) 7.1
Equation of a straight line in symmetrical form 7.2Perpendicular
distance of a line from a point 7.3 Two
forms of the equation of a line 7.4 Angle
between a line and a plane 7.5Condition
for a line to lie in a plane 7.6 Plane
containing a line coplanar lines, 7.7Shortest
distance between two lines. |
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Unit-VIII Sphere (7) 8.1
Equation of a sphere 8.2
General equation of a sphere 8.3
Equation of a sphere through four points 8.4
Plane section of a sphere 8.5Equation
of a sphere with a given diameter 8.6Intersection
of a two spheres 8.7 Spheres
through the given circle 8.8
Intersection of a sphere and a line 8.9 Equation of tangent plane 8.10
Condition of tangency. |