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Describe the locus of a point in rhombus ABCD, so that it is equidistant from AB and BC; B and D. - Mathematics

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Question

Describe the locus of a point in rhombus ABCD, so that it is equidistant from

  1. AB and BC;
  2. B and D.
Diagram
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Solution

i. 

 
The locus of the point in a rhombus ABCD which is equidistant from AB and BC will be the diagonal BD.

ii.

 
The locus of the point in a rhombus ABCD which is equidistant from B and D will be the diagonal AC.

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