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Das Gupta avoids standard parabola/ellipse equations. He focuses on and concurrent normals . The PDF format is excellent here because you can zoom into the complex geometric diagrams that are often too small in the physical book.
"Problem Plus in IIT Mathematics" by A. Das Gupta covers a wide range of topics in mathematics, including:
Take a problem from the PDF. Set a timer for 25 minutes. Do not look at the solution. If you cannot solve it, write down why you stopped (e.g., "Couldn't integrate root tan x" or "Missed the cyclic symmetry"). Only then open the solution. This builds rigor.
Many students mistake "solving 500 problems" for "studying." A. Das Gupta focuses on quality. A single problem in this book might combine concepts from Algebra, Coordinate Geometry, and Calculus simultaneously.
A standout feature is the miscellaneous questions chapter at the end, where problems are not sorted by topic, forcing students to identify the necessary concepts on their own.
The book is generally divided into the standard engineering entrance syllabus sections: