AP EAMCET List of Coordinate Geometry Topics 2025

Hyperbola

Equation of hyperbola in standard form - conditions for a straight line to be a tangent - Equations of tangent and normal at a point on the hyperbola (Cartesian and parametric) - Parametric equations - asymptotes.

System of circles

The angle between two intersecting circles - Common chord and common tangent of two circles -  Radical axis of two circles properties - radical centre - Intersection of a line and a Circle.

Ellipse

Equation of ellipse in a standard form - Parametric equations

Three-Dimensional Coordinates

Coordinates - Centroid of a triangle and tetrahedron - Section formulae

Pair of Straight lines

Equations of pair of lines passing through origin - Condition for perpendicular and coincident lines, bisectors of angles - the angle between a pair of lines - Pair of bisectors of angles (excluding proofs of all the theorems only) - second-degree general equation - Pair of lines - Conditions for parallel lines - Homogenizing a second-degree equation with a first-degree equation in x and y - the distance between them, Point of the intersection of pair of lines.

Parabola

Conic sections  - Parabola - different forms of a parabola - equation of the parabola in standard form - parametric equations.

The Straight Line

Revision of fundamental results - Normal form – Illustrations - Straight line - Straight line - Straight line - Symmetric form - Reduction into various forms - Family of straight lines - Concurrent lines - Intersection of two Straight Lines - Concurrent lines - Angle between two lines - Length of perpendicular from a point to a Line - Condition for Concurrent lines - Distance between two parallel lines - properties related to a triangle.

Circle

Equation of circle -parametric equations of a circle - Position of a point in the plane of a circle - standard form-centre and radius equation of a circle with a given line segment as diameter & equation of a circle through three non-collinear points - Position of a straight line in the plane of a circle-conditions for a line to be tangent - the power of a point-definition of tangent-length of a tangent - chord joining two points on a circle - equation of the tangent at a point on the circle- point of contact-equation of normal - pole and polar-conjugate points and conjugate lines - Chord of contact - equation of chord with given middle point.

Plane

Simple Illustrations (Excluding angle between two planes and problems related to it) - Cartesian equation of Plane

Locus

Definition of locus - problems connected to it - Illustrations find equations of locus.

Direction Cosines and Direction Ratios

Direction Cosines – Direction Ratios (Excluding angle between two lines and problems related to it)

Straight Lines

• The slope of a line
• The angle between two lines
• Equations of a line (point-slope form, slope-intercept form)
• Condition for perpendicularity and parallelism

Circles

• Standard form of a circle
• Length of the tangent
• Equation of the tangent at a point
• Parametric equations of a circle

Pair of Straight Lines

• The angle between two lines
• Homogeneous equations of second-degree
• A pair of lines passing through the origin

Parabola

• Standard equation of a parabola
• Tangents & normal

Ellipse

• Standard equation of an ellipse
• Foci and eccentricity
• Tangents and normal

Three-Dimensional Geometry

• Distance between two points in 3D
• Angle between planes
• Equation of a plane

Hyperbola

• Standard equation of a hyperbola
• Foci and eccentricity
• Asymptotes of a hyperbola

Straight Lines

3 to 4 marks

Circles

3 to 4 marks

Pair of Straight Lines

1 to 2 marks

Parabola

1 to 2 marks

Ellipse

1 to 2 marks

Three-Dimensional Geometry

2 to 3 marks

Hyperbola

1 to 2 marks