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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