Coordinate Geometry

This topic explains the concept of Straight Lines by discussing the slope of a line. It discusses various forms of the equations of a line. It provides proofs of multiple theorems on the slope of a non-vertical line, slopes of parallel lines, etc.

This chapter highlights the concept of a Circle. Different forms of equations of a circle are explained. We explore the point where two circles intersect. It also describes the general equation of a circle and the standard equation of a circle.

This chapter discusses the concept of the Parabola and the main facts about its different types. It talks about the intersection of the nappes of a cone and a plane. We will learn about right-handed, left-handed, upward, and download parabola.

This chapter explores an Ellipse and its related terms, such as centre, axes, eccentricity, etc. We will study the proof of the standard equation of an Ellipse. It explains the horizontal and vertical Ellipses along with their results.

This chapter discusses Hyperbola, its standard equation and its related terms. We will study the latus rectum of a Hyperbola and learn to find its length. It also summarises the results of the vertical and horizontal Hyperbolas.

This chapter talks about Applications of Conic Sections. We will learn about the various fields in which we can use these applications as provided in the list. The included solved examples help us understand the concept better.

This chapter focuses on the concept of Three-dimensional Geometry. We will study the coordinates of a point in space, octants and their signs, and some useful results. It also discusses the distance and section formulae.