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Question

To divide a line segment ABin the ratio 5:7, first a ray AX is drawn so that BAXis an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is


A

8

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B

10

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C

11

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D

12

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Solution

The correct option is D

12


Let's find the minimum number of points.

According to the given details, we know that

A line segment AB in the ratio 5:7

So, A:B=5:7

Draw a ray AX making an acute angle BAX,

Mark A+B points at equal distance.

So, we have A=5 and B=7

Hence, minimum number of these points A+B=5+7=12


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