This contest has ended on 3rd september
Relation and function, matrix and determinants, vector, system of equations, sequence and series, permutation and combination, binomial theorem, complex numbers, polynomials, inequalities .
I will post the first problem. If someone solves it, he or she can post a solution and then must post a new problem.
A solution must be posted below the thread of the problem. Then, the solver must post a new problem as a separate thread.
Please make a substantial comment.
Make sure you know how to solve your own problem before posting it, in case no one else is able to solve it within 24 hours. Then, you must post the solution and you have the right to post a new problem.
If the one who solves the last problem does not post a new problem in 2 hours, the creator of the previous problem has the right to post another problem.
It is NOT compulsory to post original problems. But make sure it has not been posted on Brilliant.
If a diagram is involved in your problem please make sure it is drawn by a computer program.
Format your solution in \(\LaTeX\), picture solution will be accepted but only picture will not be, i.e. you can use picture for diagram or something, but not for the complete solution. Also make sure your solution is detailed and make sure to proof all claims.
Do not post problems on same topic frequently like 3 continuous inequality problem are not allowed. 2 are sufficient.
For those who are on slack Please post in #general that new problem is up along with problem number and the link to contest (https://brilliant.org/discussions/thread/algebra-contest/?sort=new)
Handwritten picture solution are accepted only when they are easily understandable!!