Search found 172 matches
- Mon Feb 07, 2011 3:06 pm
- Forum: National Math Olympiad (BdMO)
- Topic: problem of nmo 2010 secondary
- Replies: 2
- Views: 2766
Re: problem of nmo 2010 secondary
moved the topic. please choose the right forum for posting problems (read about the rules here)
- Mon Feb 07, 2011 3:05 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2007/9
- Replies: 10
- Views: 7959
Re: BdMO National Higher Secondary 2007/9
draw segments and guess the shape. try to prove your assumption... try it yourself, it will be fun
- Mon Feb 07, 2011 1:13 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2007/9
- Replies: 10
- Views: 7959
Re: BdMO National Higher Secondary 2007/9
How can you be sure that $L$ is a square? See the image below. The Blue lines are some segments that have length $2$ and whose endpoints are on adjacent side of the square. $S$ is the set of all such segments. Join the midpoints of the segments and find out the shape of the area enclosed by the midp...
- Mon Feb 07, 2011 10:40 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2007/8
- Replies: 5
- Views: 4437
Re: BdMO National Higher Secondary 2007/8
Sorry, its wrong Its better if you try to find some logical solution. Sometimes some properties seem obvious to us, but don't believe those until you get a proof.photon wrote:...
How much a chord goes near to the center parallel to its previous position,it is increased in both sides equally.
...
- Mon Feb 07, 2011 10:33 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2007/9
- Replies: 10
- Views: 7959
Re: BdMO National Higher Secondary 2007/9
How have you got that $L$ will be a square of side length $\sqrt 2$ ?photon wrote:\[\sqrt{2}\] is the length of the segments by the mid-points.
So the area is 2...
- Fri Feb 04, 2011 10:30 am
- Forum: Asian Pacific Math Olympiad (APMO)
- Topic: APMO 2008/functional equation
- Replies: 1
- Views: 2775
Re: APMO 2008/functional equation
Hint goes first: Find the values of $f(1),f(2),f(3),...,f(16)$. It is easy to 'see' the sets $L,E,G$ and values of $a_k$s. Now prove using induction or contradiction :) Solution: (a) Notice that $L,G,E$ are mutually disjoint sets. Let $n$ is an even number $n=2k,\ k>0$ Now,\[2f(k)<2f(k)+k\] \[\Right...
- Wed Feb 02, 2011 8:04 pm
- Forum: Combinatorics
- Topic: Moon vai iz gonna to hack my acount :x :x
- Replies: 11
- Views: 8956
Re: Moon vai iz gonna to hack my acount :x :x
yap! I thought zubaer vai did $\frac{1}{10^{10}}\times 25$ but, i was wrong! ... Hey.. I actually did it :P Look, think about this problem: there are $5$ vowels, what is the probability that if I pick one, it will be $a$? Answer is obvious (though its a dangerous word in mathematics :| ) $\frac {1}...
- Wed Feb 02, 2011 1:51 pm
- Forum: Combinatorics
- Topic: Moon vai iz gonna to hack my acount :x :x
- Replies: 11
- Views: 8956
Re: Moon vai iz gonna to hack my acount :x :x
হুম, আমারও তো তাই আসলো
- Wed Feb 02, 2011 8:15 am
- Forum: Physics
- Topic: পানির পাত্রে পিন ফুটালে কী হয়?
- Replies: 10
- Views: 7305
Re: পানির পাত্রে পিন ফুটালে কী হয়?
একটা ব্যাপার তো সহজেই বুঝা যায় যে পানি বের হওয়ার হার ছিদ্রের ক্ষেত্রফলের সমানুপাতিক ধরণের হবে :? কারণ মনে করা যাক একটা পাত্রের নিচে পুরাটাই খুলে দিলাম, তরল পদার্থ মুহুর্তের মাঝে নাই হয়ে যাবে। কিন্তু ছোট ছিদ্র করলে অনেকক্ষণ ধরে পড়বে। ছিদ্র ছোট হইলে বেগ বেশি হবে সেইটা ঠিক আছে, তবে তরল কম বের হবে। ...
- Tue Feb 01, 2011 9:19 am
- Forum: Combinatorics
- Topic: Moon vai iz gonna to hack my acount :x :x
- Replies: 11
- Views: 8956
Re: Moon vai iz gonna to hack my acount :x :x
মুন ভাইয়ার দোররা খাওয়ার সফলতার সম্ভাবনা দেখা যাচ্ছে খুবই কম... $\frac {25} {10^{10}}$