Search found 185 matches
- Tue Aug 27, 2013 4:52 pm
- Forum: National Math Camp
- Topic: [OGC1] Online Geometry Camp: Day 3
- Replies: 6
- Views: 7816
Re: [OGC1] Online Geometry Camp: Day 3
Let $ABC$ be an acute angled triangle with $AB$ and $AC$ are not equal.The circle with diameter $BC$ intersects $AB$ and $AC$ at $M$ and $N$.$O$ is the midpoint of $BC$. The bisectors of $\angle BAC$ and $\angle MON$ intersects at $R$.Prove that circumcircles of $\triangle BMR$ and $\triangle CNR$ h...
- Sat Aug 24, 2013 12:35 pm
- Forum: News / Announcements
- Topic: Online Geometry Camp 2014 Phase 1
- Replies: 19
- Views: 15811
Re: Online Geometry Camp 2014 Phase 1
Please give me the address in which I have to reply the answer.
- Thu Aug 22, 2013 3:41 pm
- Forum: Secondary Level
- Topic: function
- Replies: 4
- Views: 4249
Re: function
Set A has 3 elements.So there are 3 choice for A.Similarly B has 4 choice.So 3$\times $4=12 functions can be formed.
- Thu Aug 15, 2013 12:47 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO 2013, Day 2-P4
- Replies: 2
- Views: 3843
Re: IMO 2013, Day 2-P4
Let $AH$ meets $BC$ at $L$. So $AL\perp BC$ Let $W$ lies between $L$ and $C$ We have $\measuredangle XBW=\measuredangle XNW=90$. So $\measuredangle XNB=\measuredangle =90-\measuredangle BNW=\measuredangle CNW$ $\measuredangle XBN=90-\measuredangle B=\measuredangle NCW$ So $\triangle XBN$ and $\trian...
- Wed Aug 14, 2013 1:51 pm
- Forum: Geometry
- Topic: prove right angle
- Replies: 2
- Views: 45696
prove right angle
The quadrilateral $ABCD$ is inscribed in a circle.The lines $AB$ and $CD$ meet at $E$,The diagonals meet at $F$.The circumcircle of $AFD$ and $BFC$ meet again at $H$.Prove that $\angle EHF$ is a right angle.