This textbook contains a treatment of the various topics in analytical geometry intended for the school students at senior secondary level who want to prepare for competitive examinations like IIT JEE (Main and advanced), National Science Olympiads, KVPY and other scholarship level tests in mathematics of the various Examining Boards.

Co-ordinate geometry enables one to transform a geometric problem to an algebraic one, which can be handled with greater ease. However, the students sometimes fail to draw a geometric interpretation after the algebraic solution has been obtained, for the problem is geometric, and algebra is a means to its solution, not the end. This book will compel the student to visualize the problem at hand, and the solution once it is algebraically obtained. This way, the student will develop an instinct to figure out the best approach without having to solve problems using long tedious methods.

The text begins with a chapter on coordinates, followed by chapters on the straight lines, circle, parabola, ellipse and hyperbola. Chapter-4 gives an introduction to the conic sections, which offers a geometrical proof of three dimensional definitions of conics into two dimensions. Solved examples included in the text are there for the purpose of illustration and clarification of the text, and examples at the end of each chapter are solved in a systematic and methodical manner with ample diagrams and detailed explanations. There are multiple solutions and approaches for some problems that provide more conceptual clarity. Exercises have been provided for each section and, in addition, each chapter ends with a miscellaneous set of problems. Further, answers are included at the end of the book.