ICSE Class X Math 2016 Solved Paper

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 :

Question : 34 of 57

Marks: +1, -0

A circle of radius

2.5 {\cm}

, passing through

A

and

C

Solution:

Steps of Construction :
(1) Draw line

{\AB}=5 {\cm}

(2) From

{\AB}

cut

{\AC}=3 {\cm}

.
(3) Draw right bisector of

A C

.
(4) Taking

{\A}

as centre and

{\AO}=2.5

{\cm} {\cm}

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

{\AC}

{\O}

.
(5) Taking

{\O}

as the centre and

{\AO}=

2.5 {\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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