Irvin Jalom (autor)
Zbirka deset uzbudljivih priča poznatog psihoterapeuta Irvina D. Jaloma otkriva misterije, frustracije, patos i humor u srcu terapeutskih seansi. Pripovijedajući o dilemama svojih pacijenata, Jalom nam ne daje samo rijedak i očaravajući uvid u njihove lične želje i motivacije, već, takođe, pripovijeda i svoju sopstvenu priču iz ugla terapeuta: svoj pokušaj da izmiri svoje suviše ljudske reakcije sa senzibilitetom koji bi svaki psihijatar trebalo da posjeduje. Malo je ko, još od Frojdovog vremena, pokušao da prikaže sa toliko jasnoće i otvorenosti ono što se zbiva između psihoterapeuta i pacijenta iza zatvorenih vrata.
Ostali naslovi koji sadrže ključne reči: Psihoterapija , Jalom , Joga
Ostali naslovi iz oblasti: Pripovetke
Pair of Straight Lines | General second‑degree equation,
Izdavač: Kosmos; 2. izdanje, 2023; Broširani povez; latinica; 20 cm; 286 str.; 978-86-7470-683-1;
The textbook covers the fundamental and advanced aspects of three-dimensional coordinate geometry. Key chapters include:
: A 105-page practice document of the Krishna Series for 3D Solid Geometry is available for preview on Analytical Geometry of Two Dimensions : A textbook version of the 2D series can be found on Question Bank
| Chapter | Core Concepts | Must‑solve examples | Typical “high‑yield” practice questions | |---------|---------------|----------------------|----------------------------------------| | | 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. |
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