Question

each of the following, give also th
1. Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pai
of tangents to the circle and measure their lengths.
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Answer 1

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Construct a circle with radius =6cm and centre be C.

Locate a point A which is 10 cm from C.

Then find the perpendicular bisector of line joining points C and A. lets say the mid point will be M.

Now draw an 'another circle with centre at M and radius =6cm( CA/2) and lets say this circle cuts the previous circle at points N and Q then draw the lines AB and AN which are our external tangents.

Sinces △CSA is right angle triangle at L.S = 90°

Therefore using pythagoras theorem..

(CQ)² + (SN)² = (CA)²

(10)² − (6)² = ( QN)²

°.° QN = 8cm is the length of the tangent.

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