# Use Ruler and Compasses Only for the Following Questions. All Constructions Lines and Arcs Must Be Clearly Shown Construct the Locus of Points Equidistant from Ac and Bc. - Mathematics

#### Question

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

Construct the locus of points equidistant from AC and BC.

#### Solution

Steps for construction :

1) With C as the centre and with the radius of a length less than CA or BC, draw an arc to cut the line segments AC and BC at D and E respectively.

2) With the same radius or a suitable radius and with D as the centre, draw an arc of a circle.

3) With the same radius and with E as the centre draw an arc such that the two arcs intersect at H.

4) Join C and H.

5) CH is the bisector of ÐACB and is the required locus.

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#### APPEARS IN

2015-2016 (March) (with solutions)
Question 11.2 | 4.00 marks

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Use Ruler and Compasses Only for the Following Questions. All Constructions Lines and Arcs Must Be Clearly Shown Construct the Locus of Points Equidistant from Ac and Bc. Concept: Loci Examples.