Analytical Geometry Study Materials 2021 – Download B.Sc Study Notes PDF & Imp Questions


Analytical Geometry Study Materials: Download Analytical Geometry Study Materials 2021. In this article Analytical Geometry Study Materials, we are going to provide Study Notes for the School of Sciences. This subject is very important for B.Sc (Mathematics). This subject covers the topics of Conics, Sphere, Cylinder, Cone, Conicoids, etc. Through this article, you can download Unit wise PDFs, Chapters, Topics, and Important Questions. Read the below article, to download the material PDFs.

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Analytical Geometry Study Materials - Download E-Books & Imp Topics

Analytical Geometry Study Materials

In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.

Analytic geometry is used in physics and engineering, and also in aviation, rocketry, space science, and spaceflight. It is the foundation of most modern fields of geometry, including  algebraic, differential, discrete, and computational geometry

Name of the Subject Analytical Geometry 
Category School of Sciences
Useful for Bachelor of Science
Course Type Under Graduation Courses
Article on Analytical Geometry Study Materials 2021
Study Material Format PDF
Download Other Study Materials Click Here

Analytical Geometry Study Books

Analytical Geometry subject will be studied by the students in the following semesters of their respective courses :

Subject  Download Links 
Analytical Geometry Download 
Click Here

Chapters & Topics

We have listed the chapters and topics in Analytical Geometry Subject :


  • General Theory of Conics
  • The Standard Conics
  • Preliminaries in Plane Geometry

The Sphere, Cone and Cylinder

  • Cones and Cylinders
  • The Sphere
  • Preliminaries in Three-Dimensional Geometry


  • Paraboloids
  • Central Conicoids
  • General Theory of Conicoids

Subject in the Universities

This subject will be useful to the students who are pursuing a Bachelor of Science. The following university students can also download Analytical Geometry study materials :

  • Uttarakhand Open University
  • University of Calicut
  • Pondicherry University

Subject in the Semesters

Analytical Geometry subject will be studied by the students in the following semesters of their respective courses :

  • B.Sc Mathematics III Semester

Unit wise PDFs

Download Unit wise PDFs of Analytical Geometry subject :

Units  Download Links 
Conics Download
The Sphere, Cone, and Cylinder Download
Conicoid Download

Important Questions

We have mentioned some of the important questions of Analytical Geometry subject :

  • Find the conic re prevented by
    9x² Р24xy + 16y² Р124x + 132y + 324 = 0.
  • Check whether 3×2 t 7xy + 2y2 + 5x + 5y + 2 = 0 represents a pair of lines.
  • Show that the real quadratic equation ax¬≤ + 2hxy -I- by¬≤ = 0 represents a pair of lines.
  • Under what conditions 011 a, b and h, will the equation in Theorem represent
    • a pair of parallel lines?
    • a pair of perpendicular lines?
  • Identify the conic x¬≤ – 3xy + y¬≤ + lox – 10y + 21 = 0. If it is central, find its centre.
  • Consider the conicoid given by the equation 2x¬≤ + 3y¬≤ + 4z¬≤ – 4x – i2y – 24z + 49 = 0. Does it have a centre? If so, find it.
  • Let P(6, 3, 2), Q(5, 1, 4), R(3, -4, 7) and S(0, 2, 5) be four points in space.. Find the projection of the line segment PQ on RS.
  • Find a centre of the conicoid 14x¬≤ + 14y¬≤+ 8z¬≤ – 4yz – 4zx – 8xy + 18x – 18y + 5 = 0. What will its
    new equation be if the origin is shifted to this centre?
  • Consider the hyperboloid of one sheet given by x¬≤+y¬≤-z¬≤=1.
    • a) What are its horizontal cross-sections for z = +- 3, +-6
    • b) What are the vertical cross-sections for x = 0 or y = 0?¬†Describe the sections in¬† (a) and (b) geometrically.
  • Do all the coordinate axes and coordinate planes intersect the surface? Give reasons for your answer.
  • Show that the intersection with any plane parallel to the XY-plane of the paraboloid.
    • x¬≤ + 2y¬≤ = 3z is an ellipse.
    • 3x¬≤ – y¬≤ = 4x is a hyperbola.

Recommended Books for Analytical Geometry

The books that are useful for knowing about Analytical Geometry are given here. These are available online and can be downloaded for learning.

  • Introduction to Analytical Geometry by A. Robson
  • Analytical Geometry: 2D and 3D, 1e, by Vittal

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