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Construction of Tangent from a Point Outside Circle

Draw tangents...

Question

Draw tangents to the circle with centre P and radius 2.9 cm. From a point Q which is at a distance 8.8 cm. from the centre.

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Solution

Steps of construction:
1. Draw a circle of radius 2.9 cm with centre P. Take a point Q such that PQ = 8.8 cm.
2. Obtain the midpoint M of seg PQ.
3. Draw a circle taking M as the centre and QM as the radius.
4. Let A and B be the points of intersection of these two circles.
Draw rays QA and QB which are the required tangents.

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