বৃত্তস্থ চতুর্ভুজ
Forum rules
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
বৃত্তস্থ চতুর্ভুজ $PQRS$ এ $QS$ হলো $<PQR$ এর সমদ্বিখণ্ডক। $PR$ ও $QS$ পরস্পরকে O বিন্দুতে ছেদ করে। $PS=8$ এবং $OS=4$ হলে $OQ=$ কত?
Re: বৃত্তস্থ চতুর্ভুজ
Try using the ideas of Stewart's theorem and power of point to deduce the solution.
They imply $OQ =12$.
They imply $OQ =12$.
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
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nafistiham
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Re: বৃত্তস্থ চতুর্ভুজ
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.