CUET · MATHS · PYQ PAPER 2025
Let \(R =\left\{\left(L_1, L_2\right) : L_1 \perp L_2\right.\) where \(L_1, L_2 \in L\) (set of straight line in a plane), then
- A R is reflexive but neither symmetric nor transitive
- B R is symmetric but neither reflexive nor transitive
- C R is an equivalence relation
- D R is reflexive and transitive but not symmetic
Answer & Solution
Correct Answer
(B) R is symmetric but neither reflexive nor transitive
Step-by-step Solution
Detailed explanation
Reflexivity: \(L_1 \perp L_1\) is false. Symmetry: If \(L_1 \perp L_2\), then \(L_2 \perp L_1\) is true. Transitivity: If \(L_1 \perp L_2\) and \(L_2 \perp L_3\), then \(L_1 \parallel L_3\), not \(L_1 \perp L_3\). R is symmetric but neither reflexive nor transitive.
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