[OGC1] Online Geometry Camp: Day 6 (EXAM!)

Discussion on Bangladesh National Math Camp
photon
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by photon » Fri Aug 30, 2013 10:39 pm

I am unable to understand - why it is showing 'outbox' still [after near 1.5 hour] instead of sent messages ? I sent a test message to someone and it was also in 'outbox' .
Try not to become a man of success but rather to become a man of value.-Albert Einstein

Nahraf
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Nahraf » Fri Aug 30, 2013 10:52 pm

আচ্ছা, সময় তো শেষ ৷ এখন বলা যাবে৷
আমি ৩ আর ৬ নং প্রবলেম বুঝতে পারি নি৷
কেউ বুঝিয়ে দিবেন? বাংলায় (অথবা বাংলিশ) ৷
"And that there is not for man except that for which he strives."
Al Quran, 53:39

Tahmid
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Tahmid » Fri Aug 30, 2013 11:27 pm

@nahraf
solution of problem no:6

let the line through K parallel to BC meets the circumcircle at R.
thus KP IS the reflection of KR respect to line KC.So,$\angle CKP=\angle CKR$

now,$\angle CKP=\angle CBP$
and $\angle CKR=\angle KCB$
$\therefore \angle CBP=\angle KCB$
or,$\angle CBP=90-\angle ABC$
or,$\angle ABP-\angle ABC=90-\angle ABC$
or,$\angle ABP=90$

so, AP is the diametre of the circumcilcle of ABC.
$\therefore \angle BAP=\angle CAP$
that means AP is perpendicular to BC

Nahraf
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Nahraf » Fri Aug 30, 2013 11:50 pm

আমি আসলে প্রশ্ন দুটির বাংলায় অনুবাদ চেয়েছি ৷
সলুশন না৷
"And that there is not for man except that for which he strives."
Al Quran, 53:39

Tusher Chakraborty
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Tusher Chakraborty » Sat Aug 31, 2013 12:40 am

৩ নং সমস্যার বাংলা অনুবাদঃ

চিত্রে, 24 একক বাহুবিশিষ্ট একটি বর্গক্ষেত্রের মধ্যে 8 একক বিশিষ্ট চারটি বর্গক্ষেত্র আঁকা হল।P, Q, R এবং S ছোট চারটি বর্গক্ষেত্রের চারটি শীর্ষ। ABCD বর্গক্ষেত্রটি এমনভাবে আঁকা হল যেন প্রতিটি বাহু P, Q, R এবং S এর উপর দিয়ে যায়। D থেকে X বিন্দুর সর্বোচ্চ দূরত্ব কত?
"Your present circumstances don't determine where you can go; they merely determine where you start." -Nido Qubein

Nahraf
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Nahraf » Sat Aug 31, 2013 5:49 am

ধন্যবাদ৷ আর ৬ নং প্রশ্ন?
"And that there is not for man except that for which he strives."
Al Quran, 53:39

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Fatin Farhan
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Fatin Farhan » Sat Aug 31, 2013 6:54 am

What's the Solution to no 4.
"The box said 'Requires Windows XP or better'. So I installed L$$i$$nux...:p"

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Phlembac Adib Hasan
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Phlembac Adib Hasan » Sat Aug 31, 2013 7:55 am

Nahraf wrote:ধন্যবাদ৷ আর ৬ নং প্রশ্ন?
$ABC$ একটি ত্রিভুজ যার $AB=AC$ এবং পরিবৃত্ত $\omega$. $C$ থেকে $AB$-র উপরে টানা লম্ব $\omega$-কে আবার $K$ বিন্দুতে ছেদ করে। $BC$-র সমান্তরাল যে রেখাটি $K$ বিন্দু দিয়ে যায় তাকে $KC$-র সাপেক্ষে প্রতিফলিত করলে $\omega$-কে আবার $P$ বিন্দুতে ছেদ করে। দেখাও যে $AP\perp BC$.

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Phlembac Adib Hasan
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by Phlembac Adib Hasan » Sat Aug 31, 2013 9:15 am

Fatin Farhan wrote:What's the Solution to no 4.
Sketch:
P4.png
P4.png (36.95 KiB) Viewed 1262 times

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nayel
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Re: [OGC1] Online Geometry Camp: Day 6 (EXAM!)

Unread post by nayel » Sat Aug 31, 2013 4:29 pm

Really sorry for keeping everyone waiting! I've been slightly busy with stuff. Going to check all the emails/pms now and will reply to everyone who has sent me solutions.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein

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