The steps involved in dividing a line segment are given below. Arrange them in the correct order.
I. Draw a ray PM making an acute angle with PQ
II. Locate m+n points P1, P2, P3......... Pm+n, such that PP1 = P1P2 = P2P3 … = Pm+n−1Pm+n.
III. Measure the ∠ PPm+nQ.
IV. Draw a line parallel to QPm+n at Pm.
V. Join QPm+n.
VI. Draw an angle equal to ∠ PPm+nQ at Pm.
The point Q' at which the line PmQ' intersects PQ divides the line PQ in the ratio m:n
I, II, V, III, VI, IV
The procedure in dividing a line segment with the help of a single ray is:
I. Draw a ray PM making acute angle with PQ.
II. Locate m+n points P1, P2, P3......... Pm+n, such that PP1 = P1P2 = P2P3 … = Pm+n−1Pm+n.
III. Join QPm+n.
IV. Measure the ∠ PPm+nQ.
V. Draw an angle equal to ∠ PPm+nQ at Pm.
VI. Draw a line parallel to QPm+n at Pm.
The point Q' at which the line PmQ' intersects PQ divides the line PQ in the ratio m:n
Therefore the correct order would be, I, II, V, III, VI, IV.