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Let L be the set of all lines in X Y -pl...

Let `L` be the set of all lines in `X Y` -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` .

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Let L be the set of all lines in X Y=p l a n e and R be the relation in L defined as R={(L_1,L_2): L_1 is parallel to L_2}dot 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 X Y=p l a n e and R be the relation in L defined as R={(L_1,L_2): L_1 is parallel to L_2}dot 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 a plane and R be the relation in L defined as R={(L_1,L_2):L_1 (is perpendicular to L_2 } Show that R is symmetric but neither reflexive nor transitive.

Let R be a relation on the set of all lines in a plane defined by (l_1,\ l_2) in R line l_1 is parallel to line l_2 . Show that R is an equivalence relation.

Let R be a relation on the set of all line in a plane defined by (l_1, l_2) in R iff l_1 is parallel to line l_2dot Show that R is an equivalence relation.

Let "T" be the set of all triangles in a plane with "R" as relation in "T" given by "R"={("T"_1," T"_2): T_1~="T"_2} . Show that "R" is an equivalence relation.

Let L be the set of all lines in a plane and let R be a relation defined on L by the rule (x,y)epsilonRtox is perpendicular to y . Then prove that R is a symmetric relation on L .

Let T be the set of all triangles in a plane with R a relation in T given by R={(T_1,T_2): T_1~=T_2} . Show that R is an equivalence relation.

Show that the relation R defined in the set A of all triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2) }, is equivalence relation.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let R be a relation on the set A of ordered pairs of integers defined ...

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  2. Show that the relation R on the set A={x in Z ;0lt=xlt=12} , given by...

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  3. Let L be the set of all lines in X Y -plane and R be the relation in L...

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  4. Show that the relation R , defined on the set A of all polygons as R={...

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  5. Let O be the origin. We define a relation between two points P and ...

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  6. Let R be the relation defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7}...

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  7. Let S be a relation on the set R of all real numbers defined by S={(a ...

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  8. Let Z be the set of all integers and Z0 be the set of all non-zero int...

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  9. If R and S are relations on a set A , then prove the following: R and ...

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  10. If R and S are transitive relations on a set A , then prove that RuuS ...

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  11. Write the domain of the relation R defined on the set Z of integers as...

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  12. If R={(x ,\ y): x^2+y^2lt=4; x ,\ y in Z} is a relation on Z , write ...

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  13. Write the identity relation on set A={a ,\ b ,\ c} .

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  14. Write the smallest reflexive relation on set A={1,\ 2,\ 3,\ 4} .

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  15. If R={(x ,\ y): x+2y=8} is a relation on N , then write the range of R...

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  16. If R is a symmetric relation on a set A , then write a relation betwee...

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  17. Let R={(x ,\ y):|x^2-y^2|<1} be a relation on set A={1,\ 2,\ 3,\ 4,\ 5...

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  18. If A={1,2,\ 3,\ 4} , B={1,4,9,16,25} and R be a relation defined from ...

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  19. Let A={3,\ 5,\ 7} , B={2,\ 6,\ 10} and R be a relation from A to B def...

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  20. Define a reflexive relation.

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