Problem 10:
A quadrilateral $ABCD$ with $\angle BAD + \angle ADC > 180^\circ$ circumscribes a circle of center $I$. A line through $I$ meets $AB$ and $CD$ at points $X$ and $Y$ respectively. If $IX = IY$ then what is
\[ \frac{AX\cdot DY}{BX \cdot CY}\]
BdMO National Higher Secondary 2008/10
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
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bristy1588
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Tahmid Hasan
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Re: BdMO National Higher Secondary 2008/10
try to prove $MX=NY$,where $M,N$ denote the tangent points on $AB,CD$ respectively.
বড় ভালবাসি তোমায়,মা