Monthly Archives: January 2024

A graph is connected if minimum degree of each vertex is n-1

Posted on January 28, 2024 by Sumant Sumant
Posted in Combinatorics, Graph Theory, Pegion Hole | Tagged , | Leave a comment

IB HL express z +1 in polar form

Posted on January 28, 2024 by Sumant Sumant

Given that $ latex z= cis(\alpha)$ express 1+z in polar form

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AMC 8 2017 Problem 8 on largest power of 5 as factor

Posted on January 28, 2024 by Sumant Sumant
Posted in Number Theory | Tagged , | Leave a comment

AMC 2017 Problem 20 on probability of 4 digit odd numbers with distinct digits

Posted on January 28, 2024 by Sumant Sumant
Posted in Algebra, Combinatorics | Tagged , | Leave a comment

AMC 2017 Problem 16 area of triangle obtained by dividing a right triangle into two triangles of equal perimeter

Posted on January 28, 2024 by Sumant Sumant
Posted in Geometry | Tagged , | Leave a comment

Why we have even number of odd Vertices?

Posted on January 28, 2024 by Sumant Sumant
Posted in Graph Theory, Proof | Tagged , | Leave a comment

Why dot product a.b is defined as |a||b| cos(theta) ?

Posted on January 26, 2024 by Sumant Sumant
Posted in Calculus, Linear Algebra, Vector | Tagged , , | Leave a comment

Magic Square 4 X 4

Posted on January 24, 2024 by Sumant Sumant
Posted in Algebra | Tagged | Leave a comment

Magic Square 3 X 3 and 5 X 5

Posted on January 24, 2024 by Sumant Sumant
Posted in Algebra, Algorithm | Tagged | Leave a comment

IB HL Paper 3 Complex roots of infinity and the product of their distance from root 1 is always n

Posted on January 21, 2024 by Sumant Sumant
Posted in Complex Numbers | Tagged , | Leave a comment