Let L be the set of all straight lines in the xy-plane. Two lines l1 and l2 are said to be related by the relation R if l1 is parallel to l2. Then the relation R is -

Set, Relation and FunctionHard

Question

Let L be the set of all straight lines in the xy-plane. Two lines l₁ and l₂ are said to be related by the relation R if l1 is parallel to l₂. Then the relation R is -

Options

A.Reflexive

B.Symmetric

C.Transitive

D.Equivalence

Solution

Create a free account to view solution

View Solution Free

Topic: Set, Relation and Function·Practice all Set, Relation and Function questions

More Set, Relation and Function Questions

Area bounded by the curve f(x) = - tan2[x], , (where [.] denotes greatest integer function) and the lines x = to x = and...Let R be a relation on the set N of natural numbers defined by nRm ⇔ n is a factor of m (i.e. n | m). Then R is -...Let N denote the set of all natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad (b + c)...Let R be a relation on the set N of natural numbers defined by nRm ⇔ n is a factor of m (i.e. n | m). Then R is -...If f and g are differentiable functions in [0, 1] satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c &#8...