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Byju's Answer
Standard X
Mathematics
Construction of Tangent When Point is on the Circle
Construct two...
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.
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Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.