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Coordinate geometry connects algebra with geometry by placing shapes and equations on a coordinate plane and must be duly covered in a comprehensive GRE prep course. This page supports end to end preparation of coordinate geometry through focused subtopic-wise video lessons, solved examples, and direct application on GRE style questions, followed by a comprehensive practice set with GRE like questions. Use these thoughtfully designed resources to build strong conceptual clarity and apply your learning across GRE quizzes, GRE sectional mocks, and GRE full length mocks.
If you prefer long, comprehensive video lessons that bring all ideas together, watch the Masterclass.
If you prefer short, bite sized video lessons that focus on one concept at a time, work through the concept wise modules below.
The coordinate plane gives you a clear visual way to connect numbers with position and movement on a graph, which makes it an essential tool for coordinate based questions. This conceptual video explains the XY plane through a smooth and beginner friendly flow, covering how to plot points, move along the axes, and use the distance formula to build a strong base. It then applies these ideas to GRE style questions so coordinate setups feel clear, efficient, and exciting to use while solving real problems.
A straight line on the XY plane reveals a clear link between how y changes as x changes, creating a strong connection between equations and visual graphs. This video lesson explains straight line ideas through a smooth and beginner friendly flow, covering slope, standard forms of line equations, intercept concepts, and how lines appear on the coordinate plane. It then applies these ideas to GRE style questions so straight line setups feel clear, efficient, and exciting to use while solving real problems.
Parallel and perpendicular lines on the XY plane follow simple and powerful direction based relationships, making them a natural next step after straight lines. This video explains how to recognize these relationships from both graphs and equations, and shows how to find the equation of one line using another line with given conditions. It then applies these ideas to GRE style questions so line relationships feel clear and simple.
The equation of a circle on the XY plane shows that every point on the circle stays at a fixed distance from one center, creating a strong bridge between algebra and coordinate geometry. The lesson explains this idea in a clear and approachable flow, shows how the equation reveals the center and radius, and builds intuition for forming circle equations from given details. It then applies this understanding to GRE style questions.
A parabola on the XY plane shows a clear quadratic relationship where every point follows a precise rule, creating a direct link between equations and shape. The video lesson explains parabolas through a clean and well paced flow, covers standard equation forms, highlights key features such as the vertex and direction of opening, and shows how each part of the equation appears on the graph. It then applies these ideas to GRE style questions so parabolas feel clear, efficient, and simple to use while solving real problems.
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