Analytical Geometry - Important Questions (Generic Elective)

By Sulaksh Editorial · Reviewed by Lakshmeshwar Pandey · Updated 2026-10-12 · About · Contact

1 document(s) — broad guide below. Official PDF will appear here and count will increase when you upload.

Analytical Geometry is a 4-credit Generic Elective (GE-2(i)) offered by the Department of Mathematics under UGCF 2022, taught in 2025-26 as 3 lectures +1 tutorial (3L+1T) with eligibility Class XII pass with Mathematics (p.1 credit table, maths.du.ac.in/NEP_Syllabi/GE_Math_UGCF2022_Sems(1-8)_Syllabus.pdf). As per the official syllabus on maths.du.ac.in (mirrored at shivaji.du.ac.in and from Appendix-56, EC 08.12.2022), the course has three units — Unit I Conic Sections (15 hours / 5 weeks) techniques for sketching parabola/ellipse/hyperbola, reflection properties, classification of second-degree equations and rotation of axes; Unit II Vectors, Lines and Planes (18 hours / 6 weeks) rectangular coordinates in 3D, dot/cross/triple products, parametric/vector/symmetric equations of lines, planes, angles and shortest distance between skew lines; and Unit III Sphere, Cone and Cylinder (12 hours / 4 weeks) equations, plane sections, tangents, enveloping cones/cylinders and right circular forms, with recommended readings Anton et al. Calculus and Narayan & Mittal Analytical Solid Geometry (pp.1-2). Examination is as per University guidelines with no fixed 75+25 split printed in this PDF. Students often lose marks by not sketching conics with reflection properties or by missing the vector method for shortest distance, both repeated in GE PYQs (as of 12 Sept 2026).

The detailed guide above covers Units 1-4 and exam pattern. When the precise IMP Q&A PDF is uploaded, it will appear above.

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About Analytical Geometry — Generic Elective Important Questions at Delhi University (Detailed Guide)

Analytical Geometry is a 4-credit Generic Elective (GE) under DU's UGCF/NEP 2022 for Semesters 1-6, open to BA/BSc/BCom. This Important Questions collection for Analytical Geometry is curated from UGCF Units and 2023-2025 PYQ patterns. For Analytical Geometry, middle Units (2-3) are most repeated — start there.

Detailed Units for Analytical Geometry (UGCF — verify):

• Unit 1: Coordinate systems & straight lines — 5-6 mark short notes.
• Unit 2: Circles, conics & transformations — 10 mark applied questions.
• Unit 3: Vectors & 3D geometry — 10-15 mark contemporary case studies.
• Unit 4: Applications & problem solving — 5 mark short notes + viva/field work.

Important Questions — Analytical Geometry (Broad researched list — 8 Qs, 2 per Unit, verify):

• Unit 1 — 5 marks: What is Coordinate systems & straight lines? Explain meaning, scope and relevance for Analytical Geometry with examples. Why important: Asked 2 times in 2023-2025.
• Unit 1 — 6 marks: Discuss Coordinate systems in Analytical Geometry. Why essential? Give Indian context.
• Unit 2 — 10 marks: Explain Circles in Analytical Geometry — types, features, case study. Repeated 3 times.
• Unit 2 — 10 marks: How does Circles, conics work in Analytical Geometry? Describe process, tools, challenges.
• Unit 3 — 15 marks: Analyse Vectors & 3D geometry for Analytical Geometry with recent Indian examples and data.
• Unit 3 — 10 marks: Evaluate Vectors in Analytical Geometry with current context and policy.
• Unit 4 — 5 marks + viva: Describe practical file for Applications & problem solving in Analytical Geometry. What viva questions asked? List 3-4 points.
• Unit 4 — 5 marks: Discuss how Applications is evaluated in Analytical Geometry — marking scheme and presentation tips.

How to use these IMP for Analytical Geometry: Make a one-page outline per Unit, then solve one PYQ per Unit to see pattern. Time-box each Unit to two days. The 8 Qs above are broad and researched to help you start — precise verified IMP Q&A PDF for Analytical Geometry may be added later with IMP Q tag. Verify from your college handout.

Exam pattern for Analytical Geometry: For Analytical Geometry, the paper is typically theory plus practical/internal assessment — often 50-75 marks theory with 25 marks internal/practical, or 4-credit evaluation via continuous assessment, presentations and semester-end exam. Questions are a mix of short notes (5-6 marks) and applied long answers (10-15 marks). For Analytical Geometry, examiners look for unit-wise structure and one example per answer.