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Diagram

Draw any circle with radius greater than 1.8 cm and less than 3 cm. Draw a chord AB 3.6 cm long in this circle. Tangent to the circle passing through A and B without using the center of the circle

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#### Solution

**Steps of construction:**

- Draw a circle of radius 2.5 cm.
- Draw a chord AB of length 3.6 cm.
- Take a point P on the major arc, other than A and B.
- Join AP and BP.
- Using A and B as vertices and chord AB as one side, draw ∠MAB and ∠MBA equal to ∠APB.
- Lines containing the rays AM and BM are the tangents to the circle at A and B respectively.

Concept: Construction of a Tangent to the Circle at a Point on the Circle

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