Search found 98 matches
- Thu Mar 30, 2017 12:33 am
- Forum: Junior Level
- Topic: Beginner's Marathon
- Replies: 68
- Views: 44495
Re: Beginner's Marathon
$\text{Solution to Problem 7}$ Name all number $a_1,a_2 \cdots a_{2000}$. Where a_i is neighbour to $a_{i-1}$ and $a_{i+1}$. Lets thing all of them aren't equal. In that case we will have $a_i \not = a_{i+2}$. WLOG, take $a_i>a_{i+2}$. (There is a other case where all $a_{2j}$ and all $a_{2j+1}$ are...
- Wed Mar 29, 2017 11:24 am
- Forum: Junior Level
- Topic: Beginner's Marathon
- Replies: 68
- Views: 44495
Re: Beginner's Marathon
I am seeing P7, but nobody solved P6. And one more thing, does everyone hate Number Theory or Algebra? I am not seeing any of this. And i am asking @Zawadx, can i post ineq and FE?
- Tue Mar 28, 2017 11:05 pm
- Forum: Junior Level
- Topic: Beginner's Marathon
- Replies: 68
- Views: 44495
Re: Beginner's Marathon
Mod Note: This solution is incorrect. See below for correct solution. Let we are having 3 points, A1, A2, A3. The broken line would be (A1)(A2)(A3). Since there are 2 lines with common vertex A2, so intersection phenomenon is impossible. But if we have 4 points & create a crossed(*) quadrilateral, t...
- Tue Mar 28, 2017 10:55 pm
- Forum: Social Lounge
- Topic: BDMO Forum Mafia #1
- Replies: 52
- Views: 57414
Re: BDMO Forum Mafia #1
VOTE: thamimzahin. So that i can die quickly.
- Tue Mar 28, 2017 5:51 pm
- Forum: National Math Camp
- Topic: The Gonit IshChool Project - Beta
- Replies: 28
- Views: 43882
Re: The Gonit IshChool Project - Beta
Name you'd like to be called: Zahin
Course you want to learn: Functional Equation, Number Theory
Preferred methods of communication (Forum, Messenger, Telegram, etc.): Telegram
Do you want to take lessons through PMs or Public?: PMs
Course you want to learn: Functional Equation, Number Theory
Preferred methods of communication (Forum, Messenger, Telegram, etc.): Telegram
Do you want to take lessons through PMs or Public?: PMs
- Tue Mar 28, 2017 12:23 am
- Forum: Junior Level
- Topic: Beginner's Marathon
- Replies: 68
- Views: 44495
Re: Beginner's Marathon
$\text {Problem 5}$
Suppose there are $n$ points in a plane no three of which are collinear with the property that if we label these points as $A_1, A_2, . . . , A_n$ in any way whatsoever, the broken line $A_1A_2 . . . A_n$ does not intersect itself. Find the maximum value of $n$.
Suppose there are $n$ points in a plane no three of which are collinear with the property that if we label these points as $A_1, A_2, . . . , A_n$ in any way whatsoever, the broken line $A_1A_2 . . . A_n$ does not intersect itself. Find the maximum value of $n$.
- Tue Mar 28, 2017 12:15 am
- Forum: Junior Level
- Topic: Beginner's Marathon
- Replies: 68
- Views: 44495
Re: Beginner's Marathon
$\text{Solution 4}$ Case 1: $P$, on $\widehat{AB}$. that doesn't contain $C$. Proof: $\angle ACB=\angle DHB=\angle DFB=\angle AFQ=a$ and,$\angle ACB=\angle QPA=a$ so, $AQPF$ is cyclc. and,$\angle ACB=\angle AFE=\angle PFB=a$ we know that $AQPF$ is cyclic. so, $\angle PFB=\angle AQP=a$ so, $\angle AQ...
- Mon Mar 27, 2017 8:29 pm
- Forum: Social Lounge
- Topic: BDMO Forum Mafia #1
- Replies: 52
- Views: 57414
Re: BDMO Forum Mafia #1
1. dshasan
2. ahmedittihad
3. Epshita32
4. Atony Roy Chowdhury
5. Raiyan Jamil
6. rah4927
7. nahin munkar
8. Thamim Zahin
2. ahmedittihad
3. Epshita32
4. Atony Roy Chowdhury
5. Raiyan Jamil
6. rah4927
7. nahin munkar
8. Thamim Zahin
- Fri Mar 24, 2017 10:20 pm
- Forum: Social Lounge
- Topic: BDMO Forum Mafia
- Replies: 5
- Views: 4454
Re: BDMO Forum Mafia
I am in. (Gonna kill Rahul bhai first).
- Thu Mar 23, 2017 8:17 pm
- Forum: Junior Level
- Topic: Beginner's Marathon
- Replies: 68
- Views: 44495
Re: Beginner's Marathon
$\text{Problem 2}$
Let $\triangle ABC$ be a triangle with $\angle A = 60^\circ$. The points $M, N, K$ lie on $BC, AC, AB$ respectively such that $BK = KM = MN = NC$. If $AN = 2AK$, find the values of $\angle B$ and $\angle C$.
Let $\triangle ABC$ be a triangle with $\angle A = 60^\circ$. The points $M, N, K$ lie on $BC, AC, AB$ respectively such that $BK = KM = MN = NC$. If $AN = 2AK$, find the values of $\angle B$ and $\angle C$.