A circle of radius 2.5 { cm}, passing ...

ICSE Class X Math 2016 Paper

Draw a line $A B = 5 \text{ cm}$ . Mark a point $C$ on $A B$ such that $A C = 3 \text{ cm}$ . Using a ruler and $a$ compass only, construct :

Question : 34 of 57

Marks: +1, -0

A circle of radius

2.5 \text{ cm}

, passing through

A

and

C

Solution:

Steps of Construction :

(1) Draw line

AB=5 \text{ cm}

(2) From

AB

cut

AC=3 \text{ cm}

(3) Draw right bisector of

A\,C

(4) Taking

A

as centre and

AO=2.5

\text{cm}\ \text{cm}

as radius, draw an arc to meet the right bisector of

AC

O

(5) Taking

O

as the centre and

AO=

2.5 \text{ cm}

as radius, draw a circle, which passing through

A \& C

(6) Join BO.

(7) Draw right bisector of

BO

, which cuts

BO

P

(8) Taking

P

as centre and

O\,P

as radius, draw a circle which cuts old circle at

R \& T

(9) Join BR and BT.

These are required tangents.

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