Question 1 - Transitivity of parallel and perpendicular relations on lines Practice

Question 1

00:00Est. 4 min

Marks:+3.000.00

Passage

Let

L

be the set of all lines in the

XY

plane. Define the relations

R_1

and

R_2

as follows:

R_1 = \{(\ell_1, \ell_2) \mid \ell_1, \ell_2 \in L \text{ and } \ell_1 \text{ is parallel to } \ell_2\}

R_2 = \{(\ell_1, \ell_2) \mid \ell_1, \ell_2 \in L \text{ and } \ell_1 \text{ is perpendicular to } \ell_2\}

Use this information to answer the given subquestions.

Question

Which of the following is/are correct?

Comprehension

Hard Difficulty

13 July 2025