Search found 190 matches
- Sun May 01, 2011 12:54 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO LONGLISTED PROBLEM 1970
- Replies: 13
- Views: 9067
IMO LONGLISTED PROBLEM 1970
Prove that,n! can not be the square of any natural number.
- Fri Apr 29, 2011 10:19 pm
- Forum: Algebra
- Topic: Integration Problem
- Replies: 3
- Views: 2664
Re: Integration Problem
is it possible to integrate it?
- Fri Apr 29, 2011 8:55 pm
- Forum: Geometry
- Topic: AN AMO LONGLISTED PROBLEM OF 1970
- Replies: 1
- Views: 2244
AN AMO LONGLISTED PROBLEM OF 1970
Let,ABCD be a quadrangle.On the sides of AB,BC,CA & AD 4 squares are drawn.Let,P,Q,,R,S are the centers of the squares respectively.Prove that,PR=QS & PR is perpendicular to QS.
- Wed Apr 27, 2011 7:18 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO LONGLISTED PROBLEM 1970
- Replies: 3
- Views: 3292
Re: IMO LONGLISTED PROBLEM 1970
a very nice problem.
- Wed Apr 27, 2011 7:17 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO LONGLISTED PROBLEM 1970
- Replies: 3
- Views: 3292
IMO LONGLISTED PROBLEM 1970
$\frac{bc}{b+c} $+$\frac{ca}{c+a}$+$\frac{ab}{a+b}$ $\ge$ $\frac{a+b+c}{2}$.where a,b,c>0.
- Wed Apr 27, 2011 6:34 pm
- Forum: Algebra
- Topic: Integration Problem
- Replies: 3
- Views: 2664
Integration Problem
Find out $I=\int \sqrt{sin x}\,dx$
- Sun Apr 24, 2011 12:28 pm
- Forum: Geometry
- Topic: A QUESTION ABOUT VECTOR
- Replies: 4
- Views: 3371
A QUESTION ABOUT VECTOR
A,B are 2 vectors.then,what$ A*B$ means acctually?
- Sun Apr 24, 2011 12:20 pm
- Forum: Number Theory
- Topic: A NEW PROBLEM
- Replies: 3
- Views: 2837
A NEW PROBLEM
Let, $n>1$ be an odd number.Prove that, $n$ can not divide $3^n+1$.
- Sat Apr 23, 2011 8:04 pm
- Forum: Geometry
- Topic: Secondary Special Camp 2011: Geometry P 1
- Replies: 3
- Views: 3469
Re: Secondary Special Camp 2011: Geometry P 1
A VERY EASY PROBELM.
A PROBLEM
In a quadrilateral ABCD,the diagonals AC & BD meet at R.The sides AB & DC produced meet at Q.Prove that if ABCD is cyclic then $AR*AC/AQ=BR*BD/BQ$.Is the converse is true?