## Search found 66 matches

Sat May 26, 2012 8:12 pm
Forum: Biology
Topic: pressure?
Replies: 6
Views: 4566

### 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: 1399

### Re: Circumcentre এর লীলাখেলা

Hint
Fri May 25, 2012 7:34 pm
Forum: National Math Camp
Topic: Circumcentre এর লীলাখেলা
Replies: 1
Views: 1399

### 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
Topic: ISL 2006
Replies: 3
Views: 1867

### 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 $CD$.
Fri May 25, 2012 5:17 am
Forum: Number Theory
Topic: AIME-2001
Replies: 1
Views: 1015

### Re: AIME-2001

Sat May 19, 2012 12:33 pm
Topic: ISL 1996
Replies: 1
Views: 1214

### 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: 2366

### Re: IMO-1992-2

ও আচ্ছা।ধন্যবাদ মাহি।এটা আমার মনে ছিল না।
$f(x)^2=f(x^2)$ 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: 2366

### 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: 2366

### 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 $c=1$
Fri May 18, 2012 8:19 pm
Forum: Algebra
Topic: IMO-1992-2
Replies: 9
Views: 2366

### Re: IMO-1992-2

দুঃখিত,আমার চতুর্থ স্টেপের পর ভুল আছে।