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Question

Draw a circle of radius 2 cm with centre O and take a point P outside the circle such that OP = 6.5 cm. From P, draw two tangents to the circle. [3 MARKS]

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Solution

Construction : 2 Marks
Steps of construction : 1 Mark



Steps of construction :

1. Draw a circle with O as centre and radius 2 cm.

2. Mark a point P outside the circle such that OP = 6.5 cm.

3. Join OP and bisect it at M.

4. Draw a circle with M as centre and radius equal to MP, to intersect the given circle at the points T and T'.

5. Join PT and PT'.

6. Then, PT and PT' are the required tangents.

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