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Question

Preeti is trying to draw a line parallel to PQ through a point R (not on PQ). How many arcs will she need to draw and how many times she needs to change the distance between the compass tip and the pencil tip respectively?


A

1 and 2

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B

2 and 1

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C

3 and 1

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D

0 and 2

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Solution

The correct option is C

3 and 1


Steps for drawing a line parallel to a given line:

Step 1: Mark a point A, not on the line 'l'.
Step 2: Mark point B on line 'l'.
Step 3: Draw line segment joining points A and B.
Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.
Step 5: Draw another arc with the same radius and A as the centre, such that it intersects AB at F.
Step 6: Draw another arc with F as the centre and distance DE as the radius.
Step 7: Mark the point of intersections of this arc and the previous arc as G.
Step 8: Draw line 'm' passing through points A and G.

No. of arcs drawn = 3
No. of times the distance between compass tip and pencip tip is changed = 1


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