## C.M.I. 2019 Entrance – Answer Key, Sequential Hints

Please submit problems in the comment section. Try to make the statement as close to the actual statement as possible.   Our team will upload the solutions. Problems are contributed by students. Problems 1. Suppose ( frac{8^x + 27^x}{12^x + 18 ^x} = 7/6 ). Find...

## Investigating local connectedness of boundary of relatively hyperbolic groups – 1

This is an update from Cheenta Research Track (Geometric Group Theory group). The group is comprised of Ashani Dasgupta, Sambuddha Majumdar. Learn more about Research Track here. Reference Texts: Metric Spaces of Non-Positive Curvature by HaefligerAlgebraic Topology...

## Shortest distance between curves – I.S.I. Entrance 2019 Subjective Solution Problem 8

Understand the problem Consider the following subsets of the plane: $$displaystyle { C_1 = { (x, y) : x > 0, y = frac{1}{x} } }$$ and $$displaystyle { C_2 = { (x, y) : x < 0, y = -1 + frac{1}{x} } }$$ Given any two points P = (x, y) and Q = (u, v) of the... ## I.S.I. B.Stat and B.Math Entrance 2019 (UG) Solutions, Hints, and Answer Key

This is a work in progress. Please suggest improvements in the comment section. Problems Objective Problems (I.S.I. B.Stat, B.Math Entrance 2019) Subjective Problems Objective Section (Answer Key)   1. A 2. A 3. C 4. A 5. C 6. B 7. C 8. C – Try 9. C 10. B... ## Sketching a complex set – I.S.I. Entrance 2019 Subjective Solution Problem 3

Understand the problem Let ( Omega = { z = x + i y mathbb{C} : |y| leq 1 } ). If ( f(z) = z^2 + 2 ) then draw a sketch of $$f(Omega ) = { f(z) : z in Omega }$$ Justify your answer. Source of the problem I.S.I. (Indian Statistical Institute, B.Stat, B.Math) Entrance....