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Question

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+n1Pm+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


A

I, III, IV, V, II, VI

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B

I, IV, III, V, II, VI

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C

I, II, V, III, VI, IV

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D

I, II, III, V, IV, VI

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Solution

The correct option is C

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+n1Pm+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.


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