Maximum distance is $10$. The proof by Eesha is perfect. So $BF=AB+AF$.
$AB=7$, $AF=AC=3$. So $BF=7+3=10$
Search found 26 matches
- Tue Feb 05, 2013 9:45 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Junior 6
- Replies: 4
- Views: 4813
- Tue Feb 05, 2013 2:41 pm
- Forum: Secondary Level
- Topic: Geometric Calculation
- Replies: 3
- Views: 6018
Re: Geometric Calculation
I agree that the area is $33$ Li but in terms of $2$ Li, the answer should be $\frac{33}{2}$ ,i.e. $16.5$. But I am not sure about the unit.
- Mon Feb 04, 2013 8:53 am
- Forum: National Math Olympiad (BdMO)
- Topic: Let us help one another preparing for BdMO national 2013
- Replies: 12
- Views: 13197
Re: Let us help one another preparing for BdMO national 2013
O no Mahi Bhai I got that.
$a^n+b^n \equiv 6(a^{n-1}+b^{n-1})-(a^{n-2}+b^{n-2}) \equiv (a^{n-1}+b^{n-1})-(a^{n-2}+b^{n-2}) (mod5)$
I didn't understand the implementation of mod
$a^n+b^n \equiv 6(a^{n-1}+b^{n-1})-(a^{n-2}+b^{n-2}) \equiv (a^{n-1}+b^{n-1})-(a^{n-2}+b^{n-2}) (mod5)$
I didn't understand the implementation of mod
- Sun Feb 03, 2013 6:15 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Secondary (Higher Secondary) 2011/7
- Replies: 8
- Views: 6795
Re: BdMO National Secondary (Higher Secondary) 2011/7
WHY? HOW?Mehfuj Zahir wrote: x(C)2+y(C)2=xy
- Sun Feb 03, 2013 5:52 pm
- Forum: National Math Olympiad (BdMO)
- Topic: Let us help one another preparing for BdMO national 2013
- Replies: 12
- Views: 13197
Re: Let us help one another preparing for BdMO national 2013
Didn't understand!! Elaborate PleaseNadim Ul Abrar wrote:
$a^n+b^n \equiv 6(a^{n-1}+b^{n-1})-(a^{n-2}+b^{n-2}) \equiv (a^{n-1}+b^{n-1})-(a^{n-2}+b^{n-2}) (mod5)$
Now we may use induction .
- Thu Jan 31, 2013 8:49 pm
- Forum: National Math Olympiad (BdMO)
- Topic: Let us help one another preparing for BdMO national 2013
- Replies: 12
- Views: 13197
Re: Let us help one another preparing for BdMO national 2013
Tiham Bhai, I really find it a timely and helpful initiative. Here's a problem I couldn't solve. It's for Secondary and Higher Secondary. Source- BDMO 2007 2. If $x_1$ , $x_2$ are the zeros of the polynomial $x^2 - 6x +1$, then prove that for every nonnegative integer $n$ , $x_1^n +x_2^n$ is an inte...
- Sat Jan 26, 2013 9:16 pm
- Forum: Higher Secondary Level
- Topic: Some Last year Divisional Problems
- Replies: 13
- Views: 10441
Re: Some Last year Divisional Problems
এই লাইন টা বুঝলাম নাskb wrote: Subcase 1 - When $p$ is even, $(p=2)$
$1 + 2^m$ cannot be divided by $2$ and there should be pairs of integers in the dividers of a perfect square
so, both $2^a$ and $(1 + 2^m)$ are perfect squares
- Fri Jan 25, 2013 2:09 pm
- Forum: Higher Secondary Level
- Topic: Some Last year Divisional Problems
- Replies: 13
- Views: 10441
Re: Some Last year Divisional Problems
Adib Bhai, thank you very much. এই প্রবলেমটা ভালোই জ্বালাচ্ছিল । এখন বুঝছি । Few more problems- $1)$Find all prime numbers $p$ and integers $a$ and $b$ (not necessarily positive) such that $p^{a} + p^{b}$ is the square of a rational number. $2)$Find the number of odd coefficients in expansion of $(x...
- Fri Jan 25, 2013 12:33 am
- Forum: Higher Secondary Level
- Topic: Some Last year Divisional Problems
- Replies: 13
- Views: 10441
Re: Some Last year Divisional Problems
Thnx Sanzeed Bhai for your help. But cudn't understand solution to problem 2. Ar ektu khule explain korle bhalo hoto plz.(only understood the first line). R skb bhaia, sorry but tomar solutionta amar mathar upor die gese. This is because ami english medium background theke, so the bangla mathematica...
- Thu Jan 24, 2013 8:09 pm
- Forum: Higher Secondary Level
- Topic: Some Last year Divisional Problems
- Replies: 13
- Views: 10441
Some Last year Divisional Problems
Guys, I need help for these problems. Couldn't solve these. Please help me out. 1) Consider the sequence $2^0, 2^1, 2^2 … 2^k$. You have to choose some of these numbers and their product will be the numerator of a fraction. The product of the remaining numbers will be the denominator. You want the f...