Search found 188 matches

by sakibtanvir
Sat May 04, 2013 5:45 pm
Forum: Secondary Level
Topic: Circle circle
Replies: 1
Views: 826

Re: Circle circle

Its a tedious work to illustrate the whole thing.Just the outline here. 1.Complete the equilateral triangle where the small circle is inscribed and find the length of sides of the triangle. 2.draw perpendiculars from the centers to the lines (lines that are mentioned in the que.) 3.Joint every verti...
by sakibtanvir
Sat May 04, 2013 4:47 pm
Forum: Junior Level
Topic: Brilliant problem
Replies: 1
Views: 926

Brilliant problem

Any hint is expected..
*Consider the polynomial $P(x)=x^{3}+3x+1$ with roots $r_{1},r_{2},r_{3}$.
Find the value of $(r_{1}^{2}+r_{1}+1)(r_{2}^{2}+r_{2}+1)(r_{3}^{2}+r_{3}+1)$.
by sakibtanvir
Fri May 03, 2013 10:14 pm
Forum: Social Lounge
Topic: Hello again
Replies: 0
Views: 1606

Hello again

After a long time,back again to flow with the tide of enthusiasm.My loving friends how are you?I missed the forum a lot during the absence. :cry:
by sakibtanvir
Thu Feb 28, 2013 10:01 pm
Forum: Secondary Level
Topic: Con..Con..confusion
Replies: 1
Views: 1004

Con..Con..confusion

I have a confusion in understanding a problem from Brilliant.org.Here is the problem and I request others not to give the solution nor the answer of the problem.I posted the problem to understand how the problem is operated! A sequence of polynomials $f_{k}(x)$ is defined as follows $f_{0}(x)=1$ ;$f...
by sakibtanvir
Wed Feb 27, 2013 1:59 pm
Forum: Secondary Level
Topic: Help with Combinatorics
Replies: 4
Views: 1323

Re: Help with Combinatorics

Look at the following examples,since you are reading Marcus I don't think you will have any problem understanding my languages. Consider the string:$AABBABA$,Now what you have to do is to make some words cutting from the main string.If you want to cut a $n$ digit word from the main string always cut...
by sakibtanvir
Fri Feb 22, 2013 4:02 pm
Forum: Secondary Level
Topic: Help me out!!!
Replies: 1
Views: 648

Help me out!!!

Find the maximum value of the positive integer $n$ that satisfies the following inequality,
$a_{1}^{2}+a_{2}^{2}+a_{3}^{2}+a_{4}^{2}+...+a_{n+1}^{2} \geq a_{n+1}(a_{1}+a_{2}+....+a_{n})$.
where $a_{i}$ is an arbitrary real number.$i \in (1,2,3,....,n+1)$.
by sakibtanvir
Wed Feb 06, 2013 7:08 pm
Forum: Divisional Math Olympiad
Topic: Rajshahi MO 2013, Secondary 1
Replies: 9
Views: 1843

Re: Rajshahi MO 2013, Secondary 1

And what is the answer for a regular n-gon where 'n' is even? I think that will be $\displaystyle \binom{n}{4}-\binom{\frac{n}{2}}{2}$ .
by sakibtanvir
Wed Feb 06, 2013 6:56 pm
Forum: Secondary Level
Topic: Number theoretic
Replies: 0
Views: 534

Number theoretic

Prove that, $\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{n}$ is never an integer for $n \geq 2$
by sakibtanvir
Thu Jan 31, 2013 5:20 pm
Forum: Combinatorics
Topic: Rubik's Cube Comb
Replies: 4
Views: 1245

Re: Rubik's Cube Comb

How?? :o :o Shouldn't it be $12! \times 2^{12} \times 8! \times 3^{8} ???$ I don't know If I am right or wrong...For the corner pieces the approach should be as below: "There are $8$ corner pieces,Each piece having $3$ colors.For our advantage,at first we assume that each corner piece is painted wit...
by sakibtanvir
Wed Jan 30, 2013 11:16 pm
Forum: Social Lounge
Topic: Tech.help
Replies: 0
Views: 659

Tech.help

Can anyone reckon how to open the files in the CD we were given in Regional Olympiads?I can't open any of those files in my PC.Further,I searched for some appropriate software to open but Windows file association website shows the file type to be unknown.How can I fix the problem? :?