The locus of a point in a rhombus which is equidistant from any two adjacent sides coincides with the diagonal of that rhombus.

line segment joining them

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bisector of line

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Solution

The correct option is A
line segment joining them

Consider a rhombus ABCD and adjacent sides AB and AD.

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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State the locus of a point in a rhombus ABCD, which is equidistant

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