Question

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

Answer 1

Steps of construction:

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