Search found 176 matches

by FahimFerdous
Wed Apr 03, 2013 10:31 pm
Forum: Higher Secondary Level
Topic: Where is my incenter [self-made]
Replies: 5
Views: 1841

Re: Where is my incenter [self-made]

On a second thought, as this one's your self made one, me and Zadid may have solved very similar one to this one. But the ideas are same. Sorry for the inconvenience. :-/
by FahimFerdous
Wed Apr 03, 2013 10:28 pm
Forum: Higher Secondary Level
Topic: Where is my incenter [self-made]
Replies: 5
Views: 1841

Re: Where is my incenter [self-made]

Me and Zadid did this one in Zadid's home. I used total symmetry and Zadid used the killer lemma (you know which one). :-D
Zadid's solution was more beautiful than mine though. :-/
by FahimFerdous
Wed Apr 03, 2013 10:23 pm
Forum: Geometry
Topic: CMO 2013#5
Replies: 4
Views: 1323

Re: CMO 2013#5

প্রবলেমটা আমার বেশ ভাল লাগসে। একগাদা প্রোপার্টি আছে। কিন্তু শেষে আবারও আমাকে একবার সাইন ল মারতে হইল। :(
by FahimFerdous
Thu Mar 28, 2013 12:06 am
Forum: Geometry
Topic: One of the Coolest Problems I've Ever Seen (though many may
Replies: 7
Views: 1670

Re: One of the Coolest Problems I've Ever Seen (though many

Oh, maybe there's some mistake in my calculation, I'll check it. However, calculative mistakes ACTUALLY don't count as mistakes. The main part was the property of P. :-D
by FahimFerdous
Wed Mar 27, 2013 2:37 pm
Forum: Geometry
Topic: One of the Coolest Problems I've Ever Seen (though many may
Replies: 7
Views: 1670

Re: One of the Coolest Problems I've Ever Seen (though many

Wait a min. I believe that the ques we had in the exams had a typo. I mean that I PROVED that XY is LESS/EQUAL to 2KL, not GREATER/EQUAL. And my proof has no flaw as long as I'm concerned. I'll post it this friday as I can't post now. :-/
by FahimFerdous
Wed Mar 27, 2013 2:32 pm
Forum: Geometry
Topic: One of the Coolest Problems I've Ever Seen (though many may
Replies: 7
Views: 1670

Re: One of the Coolest Problems I've Ever Seen (though many

Very very sorry for the typo. When I typed it, I didn't have the question, I typed it from memory, so the mistake occured.

And I used pole polar and pascal to prove the two parts. :-)
by FahimFerdous
Tue Mar 26, 2013 2:12 pm
Forum: Geometry
Topic: One of the Coolest Problems I've Ever Seen (though many may
Replies: 7
Views: 1670

One of the Coolest Problems I've Ever Seen (though many may

Let $ABC$ be a triangle with incentre $I$ and $D, E, F$ be the touchpoints of the incircle with sides $BC, CA, AB$. $FX$ is the perpendicular to $DF$ at $F$. Now let $DI \cap AB=S$, $DE \cap FX=T$, $ST \cap EF=R$. Let the circle with diametre $IR$ intersect the incircle at $P$ where $A$ and $P$ lies...
by FahimFerdous
Thu Mar 21, 2013 5:41 pm
Forum: Introductions
Topic: camp info
Replies: 5
Views: 2363

Re: camp info

The problem was: you were going out as you took a glimpse at the clock and you a time between 5 and 7. But later you realised that you saw the reflection of the clock in a mirror. But surprisingly what you saw was a CORRECT time even though it was not the ACTUAL time. Now what was the time except 6 ...
by FahimFerdous
Thu Mar 21, 2013 1:51 pm
Forum: Number Theory
Topic: IMO Shortlist 1995 N1
Replies: 3
Views: 686

Re: Apmo/IMOsl problem, forgot the year

ISL 1995 N1
by FahimFerdous
Thu Mar 07, 2013 12:14 am
Forum: Number Theory
Topic: Easy and Nice
Replies: 1
Views: 634

Easy and Nice

Find all positive integers $m,n$ and primes $p$ where $p$ is greater than $3$, such that $m(4m^2+m+12)=3(p^n-1)$

Someone please edit if my codes are wrong.