Question

Let R be a relation on the set L of lines defined by l1 R l2 if l1 is perpendicular to l2, then relation R is

Answer 1

Step-by-step explanation:

Given Let R be a relation on the set L of lines defined by l1 R l2 if l1 is perpendicular to l2, then relation R is

• Given L1 is perpendicular to L2. We need to find the relation R is
• So if L1 is perpendicular to L2, then obviously L2 will be perpendicular to L1
• So if (L1,L2) belongs to R, then (L2,L1) belongs to R.
• Therefore the relation R is symmetric.
• A relation R on a set M is symmetric if (y,x) belongs to R whenever (x,y) belongs to R for all x,y belongs to M

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