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 = {(T1, T2) : T1 is congruent to T2, where T is the set of triangles in a plane}
- 2R = {(T1, T2) : T1 is similar to T2, where T is the set of triangles in a plane}
- 3R = {(L1, L2) : L1 is parallel to L2, where L is the set of lines in a plane}
- 4R = {(L1, L2) : L1 is perpendicular to L2, where L is the set of lines in a plane}✓
Correct answer
R = {(L1, L2) : L1 is perpendicular to L2, where L is the set of lines in a plane}
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