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Answer :

Steps of construction:

1. Dwar a right triangle ABC with AB = 6 cm, BC = 8 cm and \(\angle \) B = 90°

2. From B draw BD perpendicular to AC.

3. Draw perpendicular bisector of BC at point O'.

4. Take O' as a centre and OB as radius as radius, draw a circle passes through point B and C and D

5. Join O'A and draw perpendicular bisector O'A which intersect O'A.

6. Take that mid point centre, draw an arc on circle on point T.

7. Join AT, AT is required tengent.

- Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
- Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
- 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.
- Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°
- Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
- Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and \(\angle B=90° \) ;. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle.
- Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.
- Q.1 Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
- Q.2 Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
- Q.3 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
- Q.4 Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°
- Q.5 Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
- Q.7 Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

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