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If R is the Largest Equivalence Relation on a Set a and S is Any Relation on A, Then (A) R ⊂ S (B) S ⊂ R (C) R = S (D) None of These

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प्रश्न

If R is the largest equivalence relation on a set A and S is any relation on A, then _____________ .

विकल्प

  • R ⊂ S

  • S ⊂ R

  • R = S

  • none of these

MCQ
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उत्तर

S ⊂ R

Since R is the largest equivalence relation on set A,

R ⊆ A × A

Since S is any relation on A,

S ⊂ R ⊆ A × A

So, S ⊂ R

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अध्याय 1: Relations - Exercise 1.4 [पृष्ठ ३२]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.4 | Q 17 | पृष्ठ ३२

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