Analytical Geometry Study Materials 2020 – Download B.Sc Study Notes PDF & Imp Questions

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Download Analytical Geometry Study Materials 2020. In this article, 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

Name of the Subject Analytical Geometry 
Category School of Sciences
Useful for Bachelor of Science
Course Type Under Graduation Courses
Article on Study Materials 2020
Study Material Format PDF
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Analytical Geometry Study Books

Subject  Download Links 
Analytical Geometry Download 
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Chapters & Topics

Conics

  • 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

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
Conicoids Download

Important Questions

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

  • Find the conic reprevented 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 cohicoid 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.

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