[OGC1] Online Geometry Camp: Day 4

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*Mahi*
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Re: [OGC1] Online Geometry Camp: Day 4

Unread post by *Mahi* » Tue Jan 06, 2015 8:57 pm

Instead of writing
$Solution$ $of$ $problem$ $6$:
please use

Code: Select all

$\text{Solution of problem 6}$:
$\text{Solution of problem 6}$
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tanmoy
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Re: [OGC1] Online Geometry Camp: Day 4

Unread post by tanmoy » Tue Jan 06, 2015 9:34 pm

*Mahi* wrote:Instead of writing
$Solution$ $of$ $problem$ $6$:
please use

Code: Select all

$\text{Solution of problem 6}$:
$\text{Solution of problem 6}$
Okay,thanks.
"Questions we can't answer are far better than answers we can't question"

tanmoy
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Re: [OGC1] Online Geometry Camp: Day 4

Unread post by tanmoy » Sat Jan 10, 2015 6:51 pm

$\text{solution of problem 2}$:
$YP=YA,\therefore \angle YPA=\angle YAP$.Again,$XA=XQ,\therefore \angle XAQ=\angle XQA$.But $\angle PAY=\angle XAQ.\therefore \angle YPX=\angle XQY$.$\therefore$ $PYXQ$ is cyclic.$\therefore$ By $\text{POWER OF POINT}$,$GY=\frac{GP\times GQ}{GX}=\frac{266\times 255}{190}=357$.$\therefore XY=357-190=167$. :)
"Questions we can't answer are far better than answers we can't question"

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