RELATION AND FUNCTION - L9

L-6 to L-9

L-9 to L-11

Let A = {1,2,3} and B = {a,b,c}. If l is the number of functions from A to B and m is number of one-one functions from A to B, then (A) l is 9 (B) m is 9 (C) l is 27 (D) m is 16

Relation And Functions

Let L be the set of all lines in the plane and R be the relation in L, defined as : R = { (l_(i),l_(j))=l_(i) is parallel to l_(j),AA i,j }. Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5 .

Let L be the set of all lines in XY= plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) is parallel to L_(-)2} Show that R is an equivalence relation.Find the set of all lines related to the line y=2x+4.

Let L be the set of all lines in XY -plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) is parallel to L_(2)}. Show that R is an equivalence relation.Find the set of all lines related to the line y=2x+4

Which of the following relation is NOT a function ?

Let L be the set of all straight lines in the Euclidean plane. Two lines l_(1) and l_(2) are said to be related by the relation R iff l_(1) is parallel to l_(2) . Then, the relation R is not