Q. 284.1( 13 Votes )

# Draw a circle of

Answer :

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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