Draw a circle of radius 3 cm. Take two points P and Q on one of its extended on both sides of its centre, each at a distance of 7 cm on opposites of its centre. Draw tangents to the circle from each of these two points P and Q

Question

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended on both sides of its centre, each at a distance of 7 cm on opposites of its centre. Draw tangents to the circle from each of these two points P and Q

Filo · Accepted 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 M1​Step 5: From M1​ draw a circle with radius =M1​P=M1​OStep 6: Mark the intersection points of the circle drawn from M1​ with the circle drawn from O as A and B.Step 7: Join P−A and P−BStep 8: Repeat steps 3 to 7 for point Q and obtain tangents QC and QDPA,PB,QC and QD are the required tangents.

Question Text	Draw a circle of radius $3 c m$ . Take two points $P$ and $Q$ on one of its extended on both sides of its centre, each at a distance of $7 c m$ on opposites of its centre. Draw tangents to the circle from each of these two points $P$ and $Q$
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Draw a circle of radius $3 c m$ . Take two points $P$ and $Q$ on one of its extended on both sides of its centre, each at a distance of $7 c m$ on opposites of its centre. Draw tangents to the circle from each of these two points $P$ and $Q$

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