मराठी

If a = {A, B, C}, Then the Relation R = {(B, C)} on a is (A) Reflexive Only (B) Symmetric Only (C) Transitive Only (D) Reflexive and Transitive Only

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प्रश्न

If A = {a, b, c}, then the relation R = {(b, c)} on A is _______________ .

पर्याय

  • reflexive only

  • symmetric only

  • transitive only

  • reflexive and transitive only

MCQ
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उत्तर

Transitive only

The relation R = {(b,c)} is neither reflexive nor symmetric because every element of A is not related to itself. Also, the ordered pair of R obtained by interchanging its elements is not contained in R.

We observe that R is transitive on A because there is only one pair.

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पाठ 1: Relations - Exercise 1.4 [पृष्ठ ३१]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 1 Relations
Exercise 1.4 | Q 6 | पृष्ठ ३१

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