Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 3

HARD

10th CBSE

IMPORTANT

Earn 100

Draw a circle of radius $3 cm$ . Take two points $P$ and $Q$ on one of its diameters extended on both sides, each at a distance of $7 cm$ on opposite sides of its centre. Draw tangents to the circle from these two points $P$ and $Q$ .

Important Questions on Constructions

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 4

Draw a circle with centre

O

and radius

4 cm

Draw any diameter

A B

of this circle. Construct tangents to the circle at each of the end points of the diameter

A B

.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 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.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 6

Draw a line segment

A B

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.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 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^{o}

.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 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^{o}

.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 9

Draw a circle of radius

3 cm

. Draw a tangent to the circle making an angle of

30^{o}

with a line passing through the centre.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 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 lengths. Also, verify the measurement by actual calculation.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>Exercise 9B>Q 11

Draw two concentric circles of radii

3 cm

and

5 cm

. Taking a point on the outer circle, construct the pair of tangents to the inner circle.