If you’re diving into Analytic Geometry (2D or 3D) for your degree or competitive exams like UPSC, the Krishna Series
by R.K. Gupta is pretty much the gold standard. It’s famous for breaking down complex coordinates into steps that actually make sense. Here is a quick post you can use to share or bookmark it: 📐 Master Coordinate Geometry with Krishna Series If you are looking for a definitive guide to Analytic Geometry
, the Krishna Series remains one of the most recommended resources for undergraduate students and math enthusiasts. Why it’s a go-to: Step-by-Step Solved Problems:
It doesn't just give you the answer; it shows you the "why" behind every derivation. Comprehensive Coverage: analytic geometry krishna series pdf
From basic straight lines and circles to complex quadric surfaces and polar coordinates. Exam-Oriented:
The exercise sets are specifically designed to mirror the difficulty level of university and national-level competitive exams. Key Topics Covered: System of Co-ordinates & Projection The Plane and Straight Line The Sphere, Cone, and Cylinder Central Conicoids & General Equation of Second Degree
While PDFs are great for a quick reference on your tablet, having the physical copy is usually better for the heavy sketching and plotting required in 3D geometry! or a list of alternative textbooks for a particular syllabus? AI responses may include mistakes. Learn more If you’re diving into Analytic Geometry (2D or
A: Some editions combine 2D and 3D in one volume; others split into “Analytic Geometry (2D)” and “Analytic Geometry (3D).” Check the table of contents before downloading.
Most Indian universities (Delhi University, BHU, AMU, Punjab University, etc.) have a near-identical syllabus for B.Sc. Mathematics in the first and second semesters. The Krishna Series is written explicitly to match these syllabi, making it more reliable than foreign textbooks.
| Step | Action | Why it matters |
|------|--------|----------------|
| 1. Identify the exact edition | • Look for the year of publication (e.g., 2016, 2020).
• Note the ISBN (usually printed on the back cover or inside the first pages). Example ISBN: 978-81-7920-123‑4 (edition may vary). | Different editions have slightly different chapter orders, question banks, and solved examples. |
| 2. Check school/college libraries | • Many Indian institutions subscribe to e‑library portals (e.g., INFLIBNET’s N-LIST, Shodhganga).
• Log in with your institutional credentials and search “Krishna Series Analytic Geometry”. | Libraries often provide free, legal PDF downloads for students and faculty. |
| 3. Use the publisher’s official site | • The Krishna Prakashan (or its current imprint) often sells e‑book versions (PDF/ePub).
• Look under “Digital Books” → “Mathematics” → “Analytic Geometry”. | Buying a digital copy supports the authors and guarantees you get a clean, watermark‑free file. |
| 4. Search reputable open‑access repositories | • National Digital Library of India (NDLI) – https://ndl.iitkgp.ac.in
• e‑Gyankosh – https://egyanKosh.gov.in
Enter the title + “PDF”. | These portals host PDFs that are either public‑domain or shared with publisher permission. |
| 5. Beware of pirated copies | • If a site asks for credit‑card details for a “free” download, it is likely a scam.
• Pirated PDFs may contain malware or be incomplete. | Protect your device and respect intellectual property. |
| 6. Keep a record | • Save the ISBN, edition, and source URL in a spreadsheet.
• This helps when you need to cite the book or verify you have the right version. | Future reference and academic honesty. | Q2: Does the PDF include 3D geometry
| Chapter | Core Concepts | Must‑solve examples | Typical “high‑yield” practice questions |
|---------|---------------|----------------------|----------------------------------------|
| 1. Straight Lines | Slope, intercept form, point‑slope, two‑point form, parallel & perpendicular criteria. | Ex. 3.1 – Find equation of a line passing through (2,‑3) & (‑1,4). | Q.1 – Prove two lines are perpendicular using slopes. |
| 2. Pair of Straight Lines | General second‑degree equation, homogeneous part, condition for pair of lines, angle between lines. | Ex. 5.4 – Find angle between lines represented by ax²+2hxy+by²=0. | Q.2 – Find the combined equation of lines making 30° with x‑axis. |
| 3. Circles | Standard form, centre‑radius form, general equation, tangents, chord of contact, radical axis. | Ex. 7.2 – Equation of a circle passing through (1,2) and (3,‑4) with centre on x‑axis. | Q.3 – Find length of the chord intercepted by a given line. |
| 4. Parabolas | Standard form (y²=4ax, x²=4ay), focus & directrix, latus‑rectum, parametric form, tangents, normals. | Ex. 9.5 – Find equation of tangent at parametric point t on y²=4ax. | Q.4 – Find the focus of a parabola given by x²+4xy+3y²+6x+12y+5=0. |
| 5. Ellipses & Hyperbolas | Standard forms, eccentricity, focal properties, asymptotes, parametric equations. | Ex. 12.3 – Derive equation of hyperbola with given transverse axis & asymptotes. | Q.5 – Find the length of the latus‑rectum of an ellipse 4x²+9y²=36. |
| 6. Coordinate Geometry in 3‑D (if present) | Direction ratios, dot product, line & plane equations, distance formula in space. | Ex. 14.7 – Shortest distance between a point and a line in 3‑D. | Q.6 – Find the angle between two planes. |
Tip: For each chapter, first read the theory, then solve all the worked‑out examples in the text, finally attempt all the exercises (both numbered and un‑numbered). Mark the ones you got wrong and revisit the relevant theory.