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Unit 10

COORDINATE GEOMETRY

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3
Sub-Units
18
Topics
10.1
Basics
Cartesian coordinates in a plane
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Distance formula
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Section formula
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Locus and its equation
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Slope of a line
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Parallel and perpendicular lines
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Intercepts of a line on coordinate axes
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10.2
Straight Line
Various forms of equations of a line
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Intersection of lines
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Angles between two lines
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Conditions for concurrence of three lines
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Distance of a point from a line
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Coordinates of centroid, orthocentre and circumcentre of a triangle
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10.3
Circle and Conic Sections
Standard form of equation of a circle
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General form of equation of a circle; radius and centre
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Equation of a circle with endpoints of diameter given
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Points of intersection of a line and a circle with centre at the origin
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Equations of conic sections (parabola, ellipse, hyperbola) in standard forms
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