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Question

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

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Solution

Given that

Construct a circle of radius, and extended diameter each at distance of 7cm from its centre. Construct the pair of tangents to the circle from these two points .

We follow the following steps to construct the given

Step of construction

Step: I- First of all we draw a circle of radius.

Step: II- Make a line CD .

Step: III-Extend the line CD in such a way that point

Step: IV- CP at a distance of, and join draw a right bisector of, intersecting at R.

Step V:- Similarly, DQ at a distance of, and join draw a right bisector of, intersecting at S.

Step VI: Taking R and S as centre and radius, draw a circle to intersect the given circle at T and T’

B and B ’respectively.

Step: VII- Joins PT and PT’ as well as QB and QB’ to obtain the require tangents.

Thus, are the required tangents.


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