RELATED QUESTIONS
Equivalence Classes
Class 12 Mathematics के इस tag से जुड़े questions।
Class 12 · Mathematics
→If R is an equivalence relation on a set A, which statement about its equivalence classes is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), relation (R) has classes ({1,6}), ({2,3,5}), and ({4}). Which pair definitely will not be in (R)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if (\lfloor\frac{a}{2}\rfloor=\lfloor\frac{b}{2}\rfloor). Which are the equivalence classes of (R)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7}), (aRb) if (a-b) is divisible by (2). What are the equivalence classes of (R)?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{0}), (xRy) if (\frac{x}{y}>0). How many equivalence classes does this relation have?
Class 12 · Mathematics
→If (R) is an equivalence relation on a set (A) and ([a]\cap[b]\neq \varnothing), which conclusion is definitely true?
Class 12 · Mathematics
→On all students, (xRy) if and only if (x) and (y) study in the same class. What will be the equivalence classes of this relation?
Class 12 · Mathematics
→On the set of all circles, (C_1RC_2) if and only if the two circles have the same centre. What are the equivalence classes of this relation?
Class 12 · Mathematics
→On a set with (5) elements, exactly (2) equivalence classes are required. Which option gives possible class sizes?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (|a-b|) is divisible by (3). What are the equivalence classes of this relation?
Class 12 · Mathematics
→On all (3\times 3) real matrices, (A RB) if and only if (\operatorname{rank}(A)=\operatorname{rank}(B)). How many equivalence classes are formed?
Class 12 · Mathematics
→For the relation (aRb) if and only if (a=b) or (a+b=6) on (A={1,2,3,4,5}), which is the correct partition?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) leave the same remainder on division by (2). What is the quotient set (A/R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R=A\times A). How many equivalence classes does it have?
Class 12 · Mathematics
→If two equivalence classes (B_1) and (B_2) of an equivalence relation satisfy (B_1\cap B_2\neq \varnothing), what conclusion follows?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a+b) is divisible by (2). What are the equivalence classes of this relation?
Class 12 · Mathematics
→On non-zero integers, (aRb) if and only if (ab>0). How many equivalence classes are formed by this relation?
Class 12 · Mathematics
→On the set of all lines in a plane, (lRm) if and only if (l) and (m) have the same direction. What do the equivalence classes represent?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a=b). How many equivalence classes does this relation have?
Class 12 · Mathematics
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