Draw a circle of radius 3 cm take two points p and q on one of it external diameter each at a distance of 7cm from it's center construct tangents to the circle from these two points p and q
Answers 1
Answer
Step 1: Draw a circle with centre O and radius 3 cm using a compass.
Step 2: Draw a secant passing through the centre. Mark points P and Q on opposite sides of the centre at a distance of 7 cm from O.
Step 3: Place the compass on P and draw two arcs on opposite sides of OP. Now place the compass on O and draw two arcs intersecting the arcs drawn from point P.
Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of OP. Mark the mid point of OP as M
1
Step 5: From M
1
draw a circle with radius =M
1
P=M
1
O
Step 6: Mark the intersection points of the circle drawn from M
1
with the circle drawn from O as A and B.
Step 7: Join P−A and P−B
Step 8: Repeat steps 3 to 7 for point Q and obtain tangents QC and QD
PA,PB,QC and QD are the required tangents.
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