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To divide a line segment AB in the ratio p: q, draw a ray AX, so that∠BAX is an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is:

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Greater of p and q

p + q

p + q - 1

answer is B.

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Detailed Solution

Let’s draw a line segment AB.
Make a ray from A as with the angle

∠ BAX

,
Now mark two points p and q on ray AX.
We obtain the below figure.
Question Image

From the figure, it can be seen that overall number of equidistant points which can be drawn on the ray AX,

= p + q

Option 2 is correct.

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