let A and B be the set of lines in xy plane such that A consists of line parallel to X-axis.For x belongs to A,y belongs to B,let R be the relation from A to B defined by xRy if x is perpendicular to y
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Let L denote the set of all straight lines in a plane. Let a Relation R be defined on L by ⇔∣∣ xRy⇔x∣∣y, for ,∈
then R is equivalence relation
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