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Let a = {a, b, c} and R = {(a, a), (b, b...

Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be a relation on A, then the

A

Symmetric

B

Transitive

C

Reflexive

D

None of these

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The correct Answer is:
C
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Let R1 and R2 be equivalence relations on a set A, then R1uuR2 may or ...

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  2. Let R be the relation defined on the set N of natural numbers by the r...

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  3. Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be ...

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  4. Let A = {1, 2, 3} and R = {(1, 1), (2,2), (1, 2), (2, 1), (1,3)} then ...

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  5. Let A = {1, 2, 3}. Which of the following is not an equivalence relat...

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  6. Which of the following relation is a function ?

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  7. Let A = {1, 2, 3} and B = {2, 3, 4}, then which of the following is a ...

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  8. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  9. Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R, t...

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  10. If f is a function form a set A to A, then f is invertible iff f is

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  11. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

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  12. Set A has 3 elements and set B has 4 elements. The number of injection...

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  13. The number of Surjections from A = {1, 2, ....4}, n ge 2, onto B = {a,...

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  14. Let A and B be two finite sets having m and n elements respectively. T...

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  15. The total number of injective mappings from a set with m elements to a...

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  16. Let A be a set containing 10 distinct elements, then the total number ...

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  17. Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions...

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  18. If f : R rarr R, f(x) = 1/(x^2 - 1), then domain is

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  19. Function f :R->R,f(x) = x|x| is

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  20. domain of f(x) = (x^(2))/(1-x^(2)), is

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