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Draw a circle of radius `3cm`. Draw a tangent to the circle making an angle of `30^(@)` with a line passing through the centre.

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Draw a circle with centre `O` and radius `3cm` . Draw a radius `OA` and produce it to `B`. Make `/_AOP=60^(@)`. Draw `PQbotOP`, meeting `OB` at `Q`.
Then, `PQ` is the desired tangent such that `/_OQP=30^(@)`.
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