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MCQ

Fill in the Blanks

To divide a line segment AB in the ratio 4 : 7, ray AX is drawn first such that ∠BAX is an acute angle and then points A_{1}, A_{2}, A_{3},……… are located at equal distances on the ray AX and the point B is joined to ______.

#### Options

A

_{12}A

_{11}A

_{10}A

_{9}

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#### Solution

To divide a line segment AB in the ratio 4 : 7, ray AX is drawn first such that ∠BAX is an acute angle and then points A_{1}, A_{2}, A_{3},……… are located at equal distances on the ray AX and the point B is joined to **A _{11}**.

**Explanation:-**

Here minimum 4 + 7 = 11 points are located at equal distances on the ray AX and then B is joined to last point, i.e., A_{11.}

Concept: Division of a Line Segment

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