The Krishna Series is known for concise theory + abundant solved examples + practice problems. Below is a workflow that maximizes retention and exam readiness.
The book is massive and comprehensive. It is generally split into two main sections:
Part B: 3D Geometry (Analytic Geometry of 3 Dimensions): analytic geometry krishna series pdf
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.
The search volume for this specific keyword is driven by three main factors: The Krishna Series is known for concise theory
| 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. Part B: 3D Geometry (Analytic Geometry of 3 Dimensions):
A: No. Analytic geometry has not changed in 300 years. Any edition from 2000 onward is perfectly valid for exams. Only the solved university question papers at the end of chapters are updated annually.