Search found 78 matches
- Sun Feb 13, 2011 8:05 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Junior 2011/6 (Secondary 4, H. Sec 3)
- Replies: 5
- Views: 4823
Re: BdMO National Junior 2011/6 (Secondary 4, H. Sec 3)
i use(ABC) for expressing the area of triangle ABC When X is on the point E (DXC)+(BXP)=(DBC) In all position of X (DXC)+(BXD)=(BDC) Now if X is between BE then the extention of DX intersect BC in Q we must say that BQ<BP so always (BXD)>(BXQ) so if X is between the point B&E then (DXC)+(BXP)<(BDC) ...
- Sun Feb 13, 2011 6:56 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2011/5
- Replies: 4
- Views: 4109
Re: BdMO National Higher Secondary 2011/5
I think it more easily.<ARS=<UNM+<ABC
<ASR=<SAU+<MUN(<MUN=<SUA)
<ASR=<ARS
so<UNM=<MUN [<ABC=<SAU by alternate segment theorem ]
MU=MN so,MUN triangle is isocles.
<ASR=<SAU+<MUN(<MUN=<SUA)
<ASR=<ARS
so<UNM=<MUN [<ABC=<SAU by alternate segment theorem ]
MU=MN so,MUN triangle is isocles.
- Sun Feb 13, 2011 1:21 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2011/4
- Replies: 7
- Views: 6055
Re: BdMO National Higher Secondary 2011/4
2011!=1.2.3.4.................1006.107.108.................2011
1006^2011=1006.1006.1006.........................1006
Now,considerA/B=1.2.3.4..........1005.1007.1008.1009...........2011/1006^2010
1005.1007=(1006-1)(1006+1)=1006^2-1>1006^2
1004.1008=(1006-2)(1006+2)=1006^2-2^2>1006^2
now prove that B>A
1006^2011=1006.1006.1006.........................1006
Now,considerA/B=1.2.3.4..........1005.1007.1008.1009...........2011/1006^2010
1005.1007=(1006-1)(1006+1)=1006^2-1>1006^2
1004.1008=(1006-2)(1006+2)=1006^2-2^2>1006^2
now prove that B>A
- Sun Feb 13, 2011 11:44 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2011/2
- Replies: 7
- Views: 5638
Re: BdMO National Higher Secondary 2011/2
in any result of the match sum of the point of the participants is 2.so we have to play 90/2=45 matches.Now n(C)2=45.then solve the equation n=10(ans)
- Sun Feb 13, 2011 11:33 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2011/1
- Replies: 7
- Views: 5727
Re: BdMO National Higher Secondary 2011/1
Take the number like as 1,2,4n-1,4n ÷ it two equal parts such as 1+4n=2+4n-1Take four numbers in this order Divide them in two equal parts.As 4n is divisible by 4 so that we can do it easily.
- Tue Feb 08, 2011 12:33 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2010/1
- Replies: 2
- Views: 4596
Re: BdMO National Higher Secondary 2010/1
n^n is even if n is even or odd if n is odd.Now u get the result 1
- Tue Feb 08, 2011 12:17 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2009/7
- Replies: 4
- Views: 3694
Re: BdMO National Higher Secondary 2009/7
prove that 1010101.......is a geometric sequence.example10101=10000+100+1. now try to prove that this type of sequence has factor.so you will get one prime number is 101
- Tue Feb 08, 2011 12:06 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Higher Secondary 2009/3
- Replies: 4
- Views: 7991
Re: BdMO National Higher Secondary 2009/3
How do you prove it equilateral.Please try with a simple case.
- Sat Feb 05, 2011 11:02 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO Junior 2009/9
- Replies: 7
- Views: 5570
Re: BdMO Junior 2009/9
Please create a diagram according to the question then i give u the solution
- Sat Feb 05, 2011 10:24 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO Junior 2009/9
- Replies: 7
- Views: 5570
Re: BdMO Junior 2009/9
If need solution please post the diagram.