iran-konkur 2021 Q148

iran-konkur · Other · konkur-riazi_1400_specialized Not Maths
148. Angle $x\hat{O}y$ and point $M$ are inside the angle such that $2M\hat{O}y = x\hat{O}M$. From point $M$, perpendiculars $MN$ and $MP$ are drawn to the rays $Ox$ and $Oy$ respectively. What is the ratio $\dfrac{MN}{MP}$?
(1) $\dfrac{OP}{ON}$ (2) $\dfrac{OP}{OM}$ (3) $\dfrac{2OP}{ON}$ (4) $\dfrac{2OP}{OM}$
\textbf{148.} Angle $x\hat{O}y$ and point $M$ are inside the angle such that $2M\hat{O}y = x\hat{O}M$. From point $M$, perpendiculars $MN$ and $MP$ are drawn to the rays $Ox$ and $Oy$ respectively. What is the ratio $\dfrac{MN}{MP}$?

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(1) $\dfrac{OP}{ON}$ \hfill (2) $\dfrac{OP}{OM}$ \hfill (3) $\dfrac{2OP}{ON}$ \hfill (4) $\dfrac{2OP}{OM}$

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