Question

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

Answer 1

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Answer 2

STEPS OF CONSTRUCTION:
1.Draw a circle of radius 3 cm centre at O.
2. Produce its diameter on both sides and take points P and Q on it such that OP = OQ = 7 cm.
3. Draw bisector of OP & OQ which intersects OP and OQ at  E & F.
4. Now take E as  centre and OE as radius draw a dotted circle which intersects the given circle at two points M , N. Again take F as Centre and OF as radius, draw another dotted  circle which intersects the given circle at two points P’ and Q’.
5. Join PM, PN, QO’ & QO’. These are the required tangents from P & Q to the given Circle.

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