# 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

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 Download

## Chapters & Topics

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

Conics

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

The Sphere, Cone and Cylinder

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

Conicoids

• 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 :

• IGNOU
• 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 – 24xy + 16y² – 124x + 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 ax² + 2hxy -I- by² = 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 x² – 3xy + y² + lox – 10y + 21 = 0. If it is central, find its centre.
• Consider the conicoid given by the equation 2x² + 3y² + 4z² – 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 14x² + 14y²+ 8z² – 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 x²+y²-z²=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.
• x² + 2y² = 3z is an ellipse.
• 3x² – y² = 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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