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Questions  >>  Olympiad-Math  >>  Class 10
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To divide a line segment $AB$ in the ration $s : t$ (s and t are positive integers with $s : t $$9\; s$ and t are positive integers with $s > t)$, draw a ray AX so that $ \angle BAX$ is an acute angle and then mark points on the ray $AX$ at equal distances such that the minimum number of these points is:

$(A) \; s+t \\(B)\; t \\(C)\; s \\(D)\; s-t $

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Solution :
To divide a line segment $AB$ in the ration $s : t (s$ and $t$ are positive integers with $s : t 9 s$ and $t$ are positive integers with $s > t$, draw a ray $AX$ so that $\angle BAX$ is an acute angle and then mark points on the ray $AX$ at equal distances such that the minimum number of these points is $s + t$.
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