The incenter of triangle ABC is I and inradius is 2. What is the smallest possible
value of AI+BI+CI?
Search found 12 matches
- Fri Jun 10, 2016 3:24 pm
- Forum: Geometry
- Topic: Incenter of Triangle
- Replies: 2
- Views: 3129
- Wed Jun 01, 2016 1:58 am
- Forum: Secondary Level
- Topic: A prime number problem...........
- Replies: 2
- Views: 3630
A prime number problem...........
$p$ and $q$ are two prime number. Again, $(p^2-q)$ and $(p-q^2)$ are also prime. If you divide $(p^2-
q)$ by a composite number $n$ where $n<p$ you’ll get a remainder of $14$. If you divide $(p-q^2+
14)$ by the same number what will you get as remainder this time?
q)$ by a composite number $n$ where $n<p$ you’ll get a remainder of $14$. If you divide $(p-q^2+
14)$ by the same number what will you get as remainder this time?
- Sat May 28, 2016 11:46 pm
- Forum: Combinatorics
- Topic: Combi identity proof
- Replies: 4
- Views: 3815
Re: Combi identity proof
Thanks tanmoy for helping.............
- Sat May 28, 2016 2:11 am
- Forum: Combinatorics
- Topic: Combi identity proof
- Replies: 4
- Views: 3815
Re: Combi identity proof
#nahin munkar.......I have already solved it algebrically,by using some identity.But i need a combinatorial proof or explanation of it.
- Sat May 28, 2016 12:13 am
- Forum: Geometry
- Topic: A smart geo
- Replies: 1
- Views: 2786
A smart geo
Two circles touch internally and the radius of the larger circle is 8 units. Centre of the larger circle lies on the smaller circle. Diameter of the larger circle that passes through the touching point meets the larger circle at point A. Tangent drawn from A to the smaller circle touches that at B. ...
- Fri May 27, 2016 10:48 pm
- Forum: Combinatorics
- Topic: Combi identity proof
- Replies: 4
- Views: 3815
Combi identity proof
Please help me to find a combinatorial proof of the following identity:
(2n+2) C (n+1) = (2n) C (n+1)+2*(2n) C (n)+(2n) C (n-1)
Here ,n C r means n combination r ...............
(2n+2) C (n+1) = (2n) C (n+1)+2*(2n) C (n)+(2n) C (n-1)
Here ,n C r means n combination r ...............
- Fri May 27, 2016 4:03 pm
- Forum: Divisional Math Olympiad
- Topic: Rangamati math olympiad 13
- Replies: 1
- Views: 2349
Rangamati math olympiad 13
ABCD is a square with AB = 8. BC is tangent and AD is a chord (not diameter) to
a circle centered at O. AD and BC lie in two different sides of O. Perimeter of the
circle is (a*pie); Find a.
a circle centered at O. AD and BC lie in two different sides of O. Perimeter of the
circle is (a*pie); Find a.
- Tue Apr 26, 2016 9:41 pm
- Forum: Number Theory
- Topic: Integer solution
- Replies: 5
- Views: 4170
Re: Integer solution
Thanks for helping...
- Mon Apr 11, 2016 1:50 pm
- Forum: Number Theory
- Topic: Integer solution
- Replies: 5
- Views: 4170
Integer solution
Prove that ,y^2=x^3+7 has no integer solution...
- Wed Apr 06, 2016 2:33 pm
- Forum: Combinatorics
- Topic: Combi-Spanish olympiad_1985
- Replies: 2
- Views: 2953
Combi-Spanish olympiad_1985
please help me to solve this prob:
"prove that for each n,where n is real number,
(n+1)(n+2)...(2n) is divisible by 2^n
"prove that for each n,where n is real number,
(n+1)(n+2)...(2n) is divisible by 2^n