You cannot copy content of this page

# R S AGGARWAL AND V AGGARWAL Solutions Mathematics Class 10 Chapter 13 Constructions

## Chapter 13 – Constructions Exercise Ex. 13A

Question 1

Solution 1

Question 2

Draw a line segment of length 7.6 cm and
divide it in the ratio 5 : 8. Measure the two parts.

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

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.

Solution 6

Question 7

Solution 7

Question 8

Solution 8

BC will
be divided in the ratio 3 : 4

Question 9

Solution 9

Question 10

Solution 10

## Chapter 13 – Constructions Exercise Ex. 13B

Question 1

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.

Solution 1

Question 2

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.

Solution 2

Question 3

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.

Solution 3

Question 4

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.

Solution 4

Question 5

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.

Solution 5

Question 6

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.

Solution 6

Question 7

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°.

Solution 7

Question 8

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°.

Solution 8

Question 9

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.

Solution 9

Question 10

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.

Solution 10

## Chapter 13 – Constructions Exercise FA

Question 1

Draw a line segment AB of length 5.4 cm.
Divide it into six equal parts. Write the steps of construction.

Solution 1

Question 2

Draw a line segment AB of length 6.5 cm and
divide it in the ratio 4 : 7. Measure each of the
two parts.

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

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.

Solution 7

Question 8

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.

Solution 8

Question 9

Draw a circle of radius 4 cm. Draw tangent
to the circle making an angle of 60° with a line passing through the centre.

Solution 9

Question 10

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.

Solution 10

error: Content is protected !!