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Question

# To divide a line segment AB in the ratio 5:6, draw a ray AX such that ∠ BAX is an acute angle, then draw a ray BY parallel to AX and the points A1,A2,A3, ... and B1,B2,B3, ... are located at equal distances on ray AX and BY, respectively. Then the points joined are ____

A
A5 and B6
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B
A6 and B5
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C
A4 and B5
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D
A5 and B4
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Solution

## The correct option is C A5 and B6The ratio is 5:6Therefore, total number of divisons on BY and AX is 5+6=11.ΔAOX and BOY are similar, since AX∥BY⇒∠X=Y and ∠A=B∴no. of divisions onBno. of divisions onA=65⇒ number of divisions on B⇒ number of divisions on B=65× number of divisions in A⇒65×5=6 So, A5 should be joined to B6.

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