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Let A be the set of all student in a sch...

Let A be the set of all student in a school. A relation R is defined on A as follows:
''aRb iff a and b have the same teacher''
The relation R, is

A

reflexive

B

symmetric

C

transitive

D

equivalence

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-CARTESIAN PRODUCT OF SETS AND RELATIONS -Chapter Test
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  2. The relation 'is not equal to' is defined on R, is

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  3. Assertion and Reason type questions :Consider the following statements...

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  4. Let X be the set of all engineering colleges in a state of Indian Repu...

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  5. If R = {(a,b) : a+b=4} is a relation on N, then R is

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  6. If A is a non-empty set, then which of the following is {:(f,a,l,s,e,?...

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  7. If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y...

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  8. Assertion and Reason type questions :Consider the following statements...

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  9. The relation ''is a factor of'' on the set N of all natural number is ...

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  10. The relation R={(1,3),(3,5)} is defined on the set with minimum number...

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  11. If a set A contains n elements, then which of the following cannot be ...

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  12. If A={4, 6, 10, 12} and R is a relation defined on A as ''two elements...

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  13. In a set of ants in a locality, two ants are said to be related iff th...

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  14. Let R be a relation defined on S, the set of squares on a chess board ...

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  18. Let S be a non-empty set of children in a family and R be a relation o...

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  19. Let A be the set of all student in a school. A relation R is defined o...

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  20. If A and B are two sets such that n(A nn barB)= 9, n( barAnnB)= 10 and...

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