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प्रश्न
Let L be a set of all straight lines in a plane. The relation R on L defined as 'perpendicular to' is ______.
विकल्प
Symmetric and Transitive
Transitive
Symmetric
Equivalence
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उत्तर
Let L be a set of all straight lines in a plane. The relation R on L defined as 'perpendicular to' is symmetric.
Explanation:
The relation is symmetric, meaning that if a line (I) is perpendicular to line (m), then line (m) is also perpendicular to line I.
However, if line (l) is perpendicular to line (m) and line (m) is perpendicular to line (n).
Then, lines 'I' and 'n' are parallel rather than perpendicular, but is parallel.
As a result, the provided relation is only symmetric.
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