ICSE Class X Math 2016 Solved Paper

Draw a line AB=5‌cm. Mark a point C on AB such that AC=3‌cm. Using a ruler and a compass only, construct :

Question : 34

Total: 57

A circle of radius 2.5‌cm, passing through A and C.

Solution:

Steps of Construction :
(1) Draw line AB=5‌cm
(2) From AB cut AC=3‌cm.
(3) Draw right bisector of AC.
(4) Taking A as centre and AO=2.5 cm‌cm as radius, draw an arc to meet the right bisector of AC at O.
(5) Taking O as the centre and AO= 2.5‌cm as radius, draw a circle, which passing through A&C.
(6) Join BO.
(7) Draw right bisector of BO, which cuts BO at P.
(8) Taking P as centre and OP 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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