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Question

Draw and describe the locus of a point in rhombus ABCD which is equidistant from AB and AD.


A

line segment joining them

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B

bisector of line

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C

line parallel to them

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D

bisector of the angle between them.

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Solution

The correct option is D

bisector of the angle between them.


Draw a rhombus ABCD. We know that the locus of a point equidistant from two intersecting lines is the bisector of the angle between them.

So, the locus of a point which is equidistant from AB and AD is the bisector of BAD. Clearly, it coincides with the diagonal AC.


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