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Division of a Line Segment

Image of the ...

Question

Image of the division of line segment AB in the ratio 3:2 is given below.

$∠ B A X$ is a/an :

acute angle

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right angle

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obtuse angle

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reflex angle

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Solution

The correct option is A acute angle
During the construction to divide line segment AB in the given ratio, we draw any ray AX, making an acute angle with AB.

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∠ B A X

A B

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A_{5}

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A A_{1} = A_{1} A_{2} = A_{2} A_{3}

∠ B A X

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∠ A B Y = ∠ B A X

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A_{3} B_{2}

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