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Question

Arrange the order of the steps to construct the tangent to a circle without using the centre of the circle.
Steps of Construction :
1) Draw chord CB and an inscribed ∠CAB .
2) Draw a circle of a suitable radius. Take any point C on it
3) Using the same radius and centre C, draw an arc intersecting the chord CB at point R.
4) With the centre A and any convenient radius draw an arc intersecting the sides of ∠BAC in points M and N.
5) Taking the radius equal to d(MN) and centre R, draw an arc intersecting the arc drawn in the previous step. Let D be the point of intersection of these arcs. Draw line CD. Line CD is the required tangent to the circle.

A
3-4-1-2-5
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B
2-1-4-3-5
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C
5-4-3-1-2
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D
1-2-3-4-5
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Solution

The correct option is B 2-1-4-3-5
Steps of Construction :
2) Draw chord CB and an inscribed ∠CAB .
1) Draw a circle of a suitable radius. Take any point C on it
4) Using the same radius and centre C, draw an arc intersecting the chord CB at point R.
3) With the centre A and any convenient radius draw an arc intersecting the sides of ∠BAC in points M and N.
5) Taking the radius equal to d(MN) and centre R, draw an arc intersecting the arc drawn in the previous step. Let D be the point of intersection of these arcs. Draw line CD. Line CD is the required tangent to the circle.

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