# Draw a circle of

Steps of Construction:

1. Draw a line segment OP = 7 cm.

2. From the point O, draw a circle with radius = 4 cm.

3. Draw a perpendicular bisector of OP. Let M be the mid-point of OP.

4. Taking M as center and OM as radius, draw a circle.

5. Let this circle intersect the given circle at the points Q and R.

6. Join PQ and PR.

Here, PQ and PR are the required tangents.

OR

Steps of Construction:

1. Draw a line segment AB of length 8 cm.

2. Draw any ray AX, making an acute angle with AB.

3. Mark 5 (2 + 3) points A1, A2, .., A5 on AX such that AA1 = A1A2 = .. = A4A5 by drawing equal arcs.

4. Join BA5.

5. Since we want the ratio 2:3, through A2, draw A2C parallel to A5B such that C lies on AB.

6. Thus AC:CB = 2:3

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