Let R be the set of real numbers. Statement-1 A={(x, y) ∈ R × R: y-x is an integer } is an equiva...

preview_player
Показать описание
Let R be the set of real numbers.
Statement-1 A={(x, y) ∈ R × R: y-x is an integer } is an equivalence relation on R.
Statement-2 B={(x, y) ∈ R × R: x=α y for some rational number α} is an equivalence relation on R.
[AIEEE 2011, 4M]
(a) Statement-1 is true, Statement-2 is true; Statement- 2 is not a correct explanation for Statement-1
(b) Statement-1 is true, Statement- 2 is false
(c) Statement-1 is false, Statement- 2 is true
(d) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

📌 PHYSICS WALLAH OTHER CHANNELS :

📌 PHYSICS WALLAH SOCIAL MEDIA PROFILES :

  1. PW Solutions
  2. pw
Рекомендации по теме
Let R be 0:07:15

Let R be the set of real numbers. Define the real function f: R→R by f(x) = x + 10 and sketch

Let S be 0:04:50

Let S be the set of all real numbers and let R be relation in S, defied by `R={(a,b

Let R be 0:01:40

Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b greater than 6}. Choose the

Let \( S 0:03:57

Let \( S \) be the set of all sets and let \( R=\{(A, B): A \subset...

Let R be 0:01:40

Let R be the relation in the set N given by R = (a, b) : a = b – 2, b 6 then: @edulover123

Let \( R 0:06:52

Let \( R \) be a relation on the set \( N \) of natural numbers defined by \( n \mathrm{R} m \) ...

Let R be 0:01:45

Let R be the Relation R in set N given by R={(a,b):a=b-2,b≥6}.Choose the correct answer|NCERT|CBSE

Let L be 0:07:36

Let L be the set of all lines in XY plane and R be the relation in L,defined as R={(L1,L2):L1//L2}

Let R be 0:07:29

Let R be the set of real numbers. Consider the following subsets of R × R. S={(x, y): y=x+1 and 0......

Let S be 0:07:09

Let S be the set of all real numbers and let R={(a, b): a, b ∈ S and a=± b}. Show that R ......

11 Let R 0:00:51

11 Let R be a relation from a set A to a set B then RD Sharma class 11 Ncert Cbse syllabus MCQ

'Let `S` be 0:02:20

'Let `S` be a relation on the set `R` of all real numbers defined by `S={(a ,\ b) in RxxR :

Let R be 0:03:05

Let R be the Relation R in set {1,2,3,4} given by R={(1,2),(2,2),(1,1)(4,4),(1,3),(3,3)(3,2)}.Choose

Let \( R 0:02:28

Let \( R \) be a relation on a set \( A \) such that \( R=R^{-1} \), then \( R \) is (A) Reflexi...

Let R be 0:05:23

Let R be the relation in the set {1,2,3,4} given by R={(1,2),(2,2),(1,1),(4,4), (1,3),(3,3),(3,2)...

Let ℝ be 0:09:12

Let ℝ be the set of real numbers and f: ℝ→ℝ, be a differentiable function such that |f(x)-f(y)| ≤......

Let R be 0:01:28

Let R be the relation in the set 𝐍 given by R={(a, b): a=b-2, b6}. Choose the correct answer. (A......

Let R be 0:09:38

Let R be the set of all real numbers and a binary operation on R defined by ab= a+b+ab. Determine

Let R be 0:01:50

Let R be the relation in the set N given by `R = {(a , b) : a = b 2, b gt 6}` . Choose the corre...

Let R be 0:03:49

Let R be a relation on the set N of naturalnumbers defined by `nRm lt= gt n` is a factor of

Let `R` be 0:03:09

Let `R` be the relation on the set `N` of natural numbers defined by `R={(a ,b): a+3b=12 ,a in N...

1. Let R 0:06:37

1. Let R be a relation from the set {1, 2, 3, ..., 60} to itself such t... | Class: 12 | Mathematics

Let `R` be 0:05:03

Let `R` be a relation on the set of all lines in a plane defined by `(l_1,\ l_2) in R ` lt

Let `R^(+) ` 0:03:59

Let `R^(+) ` be the set of all positive real numbers. Let `f : R^(+) to R^(+) : f(x) =e^(x) `