Construction of a Pair of Tangents to a Circle from an External Point

Q.

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of ${60}^0$. Find the value of $\angle$ AOB.

1. ${40}^{\circ }$

2. ${120}^{\circ }$

3. ${30}^{\circ }$

4. ${80}^{\circ }$

Q.

Draw a circle of radius 4 cm. Construct the two tangents to the circle from a point P which is at the distance of 7 cm from centre. Measure the length of the tangents. [5 Marks]

Q. Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle. Draw two tangents PA and PB to the given circle and measure the length of each tangent. [5 Marks]

Q.

You are given a circle with radius 'r' and centre O. You are asked to draw a pair of tangents from a point E which are inclined at an angle of 120° to each other. Refer the figure and select the option which would lead us to the required construction.

1. Using trigonometry, arrive at d = r and mark E.

2. Construct the $△$ MNO as it is equilateral

3. None of these

4. Mark M and N on the circle such that $\angle$MOE = ${60}^{\circ }$ and $\angle$NOE = ${60}^{\circ }$

Q. Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct a pair of tangents to the circle. [5 Marks]

Q.

Draw a circle of radius 6 cm.Construct the two tangents to the circle from a P which is at the distance of 9 cm from centre. Measure the length of the tangents.

1. 4.7 cm

2. 6.7 cm

3. 7.7 cm

4. 5.7 cm

Q.

Draw a circle of radius 4 cm. Construct the two tangents to the circle from a P which is at the distance of 7 cm from centre. Measure the length of the tangents

1. 5.7 cm

2. 7.7 cm

3. 6.7 cm

4. 4.7 cm

Q.

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

1. 3 cm

2. 4 cm

3. 5 cm

4. 2 cm