## Search found 66 matches

Sun Apr 08, 2012 9:43 pm
Topic: ISL 2003
Replies: 12
Views: 3948

### Re: ISL 2003

Can u please send me a msg about the question of APMO 4?I have forgot the question
Sun Apr 08, 2012 8:03 pm
Topic: ISL 2003
Replies: 12
Views: 3948

### ISL 2003

Three distinct points $A,B,C$ are fixed on a line in this order.Denote by P the intersection of the tangents to a circle at $A$ and $C$ where the centre of the circle doesn't lie on the line $AC$.Suppose, $Q$ is intersection point of the segment $PB$ and the circle.Prove that the intersection of the...
Sat Apr 07, 2012 8:03 pm
Forum: Number Theory
Topic: সংখ্যার অঙ্ক
Replies: 1
Views: 854

### Re: সংখ্যার অঙ্ক

Let the product of the digits of $n$ be $P(n)$. It is easy to prove that $P(n)\leq n$. So write $P(n)=n - k$ where $k \in \mathbb {N}$. So we get the quadratic equation $n^2 - 10n - 22=n - k$ the determinant of which must be a perfect square.Plugging the convenient values of $k$ and examining the r...
Sat Apr 07, 2012 2:15 pm
Forum: Number Theory
Topic: সংখ্যার অঙ্ক
Replies: 1
Views: 854

### সংখ্যার অঙ্ক

Find all positive integers $n$ the product of whose digits is equal to $n^2 - 10n - 22$
Fri Apr 06, 2012 8:04 pm
Forum: National Math Camp
Topic: BOMC-2012 Test Day 1
Replies: 24
Views: 7907

### Re: BOMC-2012 Test Day 1

নায়েল ভাইয়াকে প্রাইভেট মেসেজ পাঠাবো কীভাবে?
Sun Apr 01, 2012 5:55 am
Forum: National Math Camp
Topic: Not so easy (Camp problems) (BOMC-2)
Replies: 6
Views: 2658

### Re: Not so easy (Camp problems) (BOMC-2)

Can u help me?i only have mobile to go to internet.i can't download pdf files
Sun Apr 01, 2012 12:08 am
Forum: National Math Camp
Replies: 10
Views: 3698

Sat Mar 31, 2012 10:04 pm
Forum: National Math Camp
Replies: 10
Views: 3698

Sat Mar 31, 2012 10:00 pm
Forum: National Math Camp
Replies: 10
Views: 3698