All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHALLENGERS>Q 7

HARD

10th ICSE

IMPORTANT

Earn 100

Draw a circle with the help of circular solid ring construct a pair of tangents from a point $P$ outside the circle.

Important Questions on Constructions

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHALLENGERS>Q 8

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.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 1

Using ruler and compass only, construct a

△ A B C

such that

B C = 5 cm, A B = 6.5 cm

and

∠ A B C = 120 °

. Construct a circumcircle of

△ A B C

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 1

Using ruler and compass only, construct a

△ A B C

such that

B C = 5 cm, A B = 6.5 cm

and

∠ A B C = 120 °

. Construct a cyclic quadrilateral

A B C D

, such that

D

is equidistant from

A B

and

B C

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 2

Draw a line

A B = 5 cm

. Mark a point

C

on

A B

such that

A C = 3 cm

. Using a ruler and a compass only, construct a circle of radius

2.5 cm

, passing through

A

and

C

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 2

Draw a line

A B = 5 cm

. Mark a point

C

on

A B

such that

A C = 3 cm

. Using a ruler and a compass only, construct a circle of radius

2.5 cm

, passing through

A

and

C

. Construct two tangents from the external point

B

. Measure and record the length of the tangents.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 4

Construct a

△ A B C

with

B C = 6.5 cm, A B = 5.5 cm

and

A C = 5 cm

. Construct the incircle of the triangle. Measure and record the radius of the incircle.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 5

Using a ruler and a compass only, construct a $△ A B C$ in which $A B = 3.5 cm, B C = 6 cm$ and $∠ A B C = 120 °$ .

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>ARCHIVES (Last 8 Years)>Q 5

Using a ruler and a compass only, construct a $△ A B C$ in which $A B = 3.5 cm, B C = 6 cm$ and $∠ A B C = 120 °$ . Draw a circle with $B C$ as diameter. Find a point $P$ on the circumference of the circle which is equidistant from $A B$ and $A C$ .