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Introduction to LOCI

In the diagra...

Question

In the diagram, PQ and PS are two straight lines.
Which line is the locus of a point such that it is equidistant from lines PQ and PS?

A

I

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B

II

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C

III

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D

IV

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Solution

The correct option is C III
The locus will be the angle bisector of $∠ P$ and hence line $I I I$ .

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