Mathematics · Relations and Functions
Which of the following relations is symmetric, but neither reflexive nor transitive?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R = {(L 1 , L 2 ) : L 1 is perpendicular to L 2 , where L is the set of lines in a plane}✓
- 2R = {(L 1 , L 2 ) : L 1 is parallel to L 2 , where L is the set of lines in a plane}
- 3R = {(T 1 , T 2 ) : T 1 is similar to T 2 , where T is the set of triangles in a plane}
- 4R = {(T 1 , T 2 ) : T 1 is congruent to T 2 , where T is the set of triangles in a plane}
Correct answer
R = {(L 1 , L 2 ) : L 1 is perpendicular to L 2 , where L is the set of lines in a plane}
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