Maths Olympiad Daily Problems

hard problem

Let P be a point outside a circle omega. Let A and B be points on the omega such that PA and PB are tangents to omega on the minor arc AB lies in an arbitrary point C. Let D, E, F be the feet of perpendicular from C to AB, PA, and PB respectively, so that CD square is equal to CE into CF.

If f(x) is a polynomial with integer coefficients and suppose that f(1) and f(2) both are odd, then prove that there exists no integer n for which f(n) = 0 .

a,b,c

Please don't share these bullsh*t on the main channel,

is this fr?

Lo paper leak exposed https://t.me/stark_trace/20913 Channel ki pose mt dekhna kyuki ye log channel private rkhte h

guys from where is this questoin from in jee advance paper 2?

Pass- TEAMUNIVERSEBYTMC69

A fun problem beyond just theory. Find a pattern. I have found one. If nobody replies by tonight I will send once. Experts may verify if that can give us our desired result or not

really good problem from jee adv 2026 paper 2

Let AC be line segment in a plane and B is point between A and C construct isosceles triangle PAB and QBC on one side of the segment AC such that

I know this qn is easy But i am bad at bounding can anyone help

Let's start with an introductory problem

Jee adv. Mock paper 1