# Questions with detailed step by step solutions from Coordinate Geometry

##### Topics covered under Coordinate Geometry

Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Straight lines
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines.
Circles, conic sections
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.

Cartesian Coordinate System
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Polar Coordinate System
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Distance Between Two Points in 2D
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Section Formulae
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Triangles and Quadrilateral
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Locus and Its Equation
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Transformation of Axes
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Basics of Straight Lines
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Various Forms of Equation of Line
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Position of Points Relative to a Line
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Distance of Point from a Line
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Concurrent and Family of Lines
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Angular Bisectors of Intersecting Lines
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Foot of the Perpendicular
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Image of a Point about a Line Mirror
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Equation of Line in Parametric Form
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Real Life Applications
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Pair of Straight Lines Through Origin
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General Equation of Pair of Straight Lines
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Equation of Circles in Different Forms
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Tangent of Ellipse
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Normal of Ellipse
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Chords of Ellipse
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Concyclic Points of Ellipse
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Reflection Property of Ellipse
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Position of a Point/Line w.r.t Circle
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Tangent and Secant of Circle
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Normal to the Circle
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Chords of Circle
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Non-intersecting, Intersecting, Touching circles
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Cyclic Polygons
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Family of Circles
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Conic Sections
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Equation of Parabola
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Position of Point w.r.t Parabola
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Tangent of Parabola
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Normal of Parabola
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Chords of Parabola
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Reflection Property of Parabola
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Parabola of Form (ax+by)^2+2gx+2fy+c=0
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Equations of Ellipse
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Position of a Point w.r.t Ellipse
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Equation of Ellipse in General Form
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Equation of Hyperbola
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Position of a Point w.r.t Hyperbola
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Tangent of Hyperbola
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Normal of Hyperbola
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Chords of Hyperbola
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Concyclic Points of Hyperbola
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Asymptotes of Hyperbola
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Rectangular Hyperbola
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Reflection Property of Hyperbola
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Equation of Hyperbola in General Form
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