Search found 66 matches
Re: pressure?
মাথায় অক্সিজেনের অভাব হলে হাই আসে
- Sat May 26, 2012 2:14 pm
- Forum: National Math Camp
- Topic: Circumcentre এর লীলাখেলা
- Replies: 1
- Views: 2455
- Fri May 25, 2012 7:34 pm
- Forum: National Math Camp
- Topic: Circumcentre এর লীলাখেলা
- Replies: 1
- Views: 2455
Circumcentre এর লীলাখেলা
Let ABCD be a quadrilateral.AC and BD intersect at P.Let the circumcentres of ADP and BPC are Q and R respectively.Let the midpoints of AC,BD and QR are M,N,O respectively.Prove that the circumcentre of MNP is O
- Fri May 25, 2012 7:23 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: ISL 2006
- Replies: 3
- Views: 3555
ISL 2006
Let ABCDE be a convex pentagon such that
$\angle BAC= \angle CAD= \angle DAE$ and
$ \angle ABC= \angle ACD= \angle ADE$
If $BD$ and $CE$ intersect at $P$,then prove that $AP$ bisects $CD$.
$\angle BAC= \angle CAD= \angle DAE$ and
$ \angle ABC= \angle ACD= \angle ADE$
If $BD$ and $CE$ intersect at $P$,then prove that $AP$ bisects $CD$.
- Fri May 25, 2012 5:17 am
- Forum: Number Theory
- Topic: AIME-2001
- Replies: 1
- Views: 1892
- Sat May 19, 2012 12:33 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: ISL 1996
- Replies: 1
- Views: 2379
ISL 1996
Let,H be the orthocentre of the triangle ABC and P an arbitrary point of its circumcircle.Let E the foot of the perpendicular BH and let PAQB and PARC be parallelograms.If AQ and HR intersect at X then prove that EX is parellel to AP
- Fri May 18, 2012 11:03 pm
- Forum: Algebra
- Topic: IMO-1992-2
- Replies: 9
- Views: 4833
Re: IMO-1992-2
ও আচ্ছা।ধন্যবাদ মাহি।এটা আমার মনে ছিল না।
additional property of f:
$f(x)^2=f(x^2)$ now if $x$ is non negative, then putting $x=x^{\frac {1}{2}}$ we have $f(x)$ is non negative.So we can use cauchy.
additional property of f:
$f(x)^2=f(x^2)$ now if $x$ is non negative, then putting $x=x^{\frac {1}{2}}$ we have $f(x)$ is non negative.So we can use cauchy.
- Fri May 18, 2012 10:57 pm
- Forum: Algebra
- Topic: IMO-1992-2
- Replies: 9
- Views: 4833
Re: IMO-1992-2
হায়রে,মোবাইল থেকে কিচ্ছু বুঝতে পারছি না।আন্দাজের উপর ডোমেন এবং কো ডোমেন ধরে নিয়ে অঙ্ক করা শুরু করেছি।একটু সোজা বাংলায় ডোমেন এবং কোডোমেন কী তা বলে দিলে ভাল হত
- Fri May 18, 2012 8:26 pm
- Forum: Algebra
- Topic: IMO-1992-2
- Replies: 9
- Views: 4833
Re: IMO-1992-2
After 4th step,
5.put $y=0$ to get $f(x^2)=f(x)^2$
6.Now put $y=f(x)$ and use the equation in the 5th step to get a Cauchy's equation.
Hence,$f(x)=cx$ for some constant $c$.Checking ensures that $c=1$
5.put $y=0$ to get $f(x^2)=f(x)^2$
6.Now put $y=f(x)$ and use the equation in the 5th step to get a Cauchy's equation.
Hence,$f(x)=cx$ for some constant $c$.Checking ensures that $c=1$
- Fri May 18, 2012 8:19 pm
- Forum: Algebra
- Topic: IMO-1992-2
- Replies: 9
- Views: 4833
Re: IMO-1992-2
দুঃখিত,আমার চতুর্থ স্টেপের পর ভুল আছে।