## Chapter 13 – Constructions Exercise Ex. 13A

Draw a line segment of length 7.6 cm and

divide it in the ratio 5 : 8. Measure the two parts.

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Construct a ∆ABC in which AB = 6 cm, ∠A = 30° and ∠B = 60°. Construct another ∆AB’C’ similar to ∆ABC with base

AB’ = 8 cm.

BC will

be divided in the ratio 3 : 4

## Chapter 13 – Constructions Exercise Ex. 13B

Draw a circle of radius 3 cm. From a point

P, 7 cm away from the centre of the circle, draw two tangents to the circle.

Also, measure the lengths of the tangents.

Draw two tangents to a circle of radius 3.5

cm from a point P at a distance of 6.2 cm from its centre.

Draw a circle of radius 3.5 an. Take two

points A and B on one of its extended diameter, each at a distance of 5 cm

from its centre. Draw tangents to the circle from each of these points A and

B.

Draw a circle with centre O and radius 4

cm. Draw any diameter AB of this circle. Construct tangents to the circle at

each of the two end points of the diameter AB.

Draw a circle with the help of a bangle.

Take any point P outside the circle. Construct the pair of tangents from the

point P to the circle.

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.

Draw a circle of radius 4.2 cm. Draw a pair

of tangents to this circle inclined to each other at an angle of 45°.

Write the steps of construction for drawing

a pair of tangents to a circle of radius 3 cm, which are inclined to each

other at an angle of 60°.

Draw a circle of radius 3 cm. Draw a

tangent to the circle making an angle of 30° with a line passing through the

centre.

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.

## Chapter 13 – Constructions Exercise FA

Draw a line segment AB of length 5.4 cm.

Divide it into six equal parts. Write the steps of construction.

Draw a line segment AB of length 6.5 cm and

divide it in the ratio 4 : 7. Measure each of the

two parts.

Draw a circle of radius 4.8 cm. Take a

point P on it. Without using the centre of the circle, construct a tangent at

the point P. Write the steps of construction.

Draw a circle of radius 3.5 cm. Draw a pair

of tangents to this circle which are inclined to

each other at an angle of 60°. Write the steps of construction.

Draw a circle of radius 4 cm. Draw tangent

to the circle making an angle of 60° with a line passing through the centre.

Draw two concentric circles of radii 4 cm and 6 cm. Construct a tangent to the smaller circle from a point on the larger circle. Measure the length of this tangent.