Reflexive: a line is not perpendicular to itself, so not reflexive.
Symmetric: if l1⊥l2 then l2⊥l1, so symmetric.
Transitive: if l1⊥l2 and l2⊥l3, then l1∥l3, not perpendicular. Not transitive.
Hence R is only symmetric.
Let L be the set of all lines in a plane and R be the relation in L defined as R = (l_1, l_2) : l_1 is perpendicular to l_2, where l_1, l_2 ∈ L.…
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
Let L be the set of all lines in a plane and R be the relation in L defined as R={(l1,l2):l1 is perpendicular to l2, where l1,l2∈L}. Choose the correct answer :
Official previous-year question
Held on 7 Aug 2022 · Verified 13 Jul 2026.
Options
- A
R is reflexive relation
- B
R is symmetry relation
- C
R is transitive relation
- D
R is equivalence relation
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Algebra in other years
More CUET UG Algebra questions
If f(x) = 2x + 3, then f⁻¹(x) is:
2026easy
A relation R in the set A = {1, 2,3, 4} is given by R = {(1,1), (2,2), (1,2), (2,3), (3,4), (4,4), (1,3), (2,4), (1,4)} is
2025medium
If $P(A) = \frac{3}{5}$, $P(B) = \frac{1}{2}$ and $P(A \cap B) = \frac{1}{4}$, then $P(\overline{A} | \overline{B})$ is
2025medium
The maximum value of a LPP $z = 3x + 4y$ subject to the constraints: $x + y \leq 6$, $x \geq 0$, $y \geq 0$ is:
2025medium
Match List-I with List-II | List-I | List-II | |---|---| | (A) The number of possible matrices of order 3x3 with each entry 1 or 0 | (I) $2^4$ | | (B) The number of possible matrices of order 2x3 with each entry 1 or 0 | (II) $2^9$ | | (C) The number of possible matrices of order 2x3 with each entry 0,1,2 | (III) $2^6$ | | (D) The number of possible matrices of order 2x2 with each entry 1 or 0 | (IV) $3^6$ | Choose the correct answer from the options given below:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Algebra
Work through every CUET UG Algebra PYQ, year by year.