Question

To divide a line segment PQ in the ratio r:s, draw a ray PX such that <QPX is an acute angle, then mark points on ray PX, the number of these points is​

Answer 1

number of these points is​  r + s To divide a line segment PQ in the ratio r:s, draw a ray PX such that <QPX is an acute angle

Step-by-step explanation:

Step 1 : Draw a line segment  PQ

Step 2 : Draw an acute angle QPX  at P on QP

Step 3 : Using compass taking some width take Consecutively r + s points one by one starting from P on angle drawn in step 2  

Let say rth point = R   & r + s th point = S

Step 4 : join S with Q as a straight line

Step 5 : Draw a line parallel to QS passing through R such that it intersect PQ at M

now PM : QM :: r : s

number of these points is​  r + s

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