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Question

Construct two tangents to a circle of radius 6 cm from a point 10 cm away from its centre.
[3 Marks]

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Solution

[2 Marks]


Steps of construction :

1. Draw a circle with O as centre and radius 6 cm.

2. Mark a point P outside the circle such that OP = 10 cm.

3. Join OP and bisect it at a point M.

4. Draw a circle with M as the 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.

[1 Mark]

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