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Let R be the relation ''is divisor of'' ...

Let R be the relation ''is divisor of'' from the set A{1,2,3} to B= [4,10,15]. Write down the set of ordered pairs corresponding to R.

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Let R be a relation is multiple of from the set A={1,2,3} to B={4,10,15}. Then, the set of ordered pairs corresponding to R are :

If R is the relation less than ^(n) from A={1,2,3,4,5} to B={1,4,5}, write down the set of ordered pairs corresponding to R. Find the inverse of R.

Let R be the relation ''greater than'' from A={1,4,5} to B={1,2,4,5,6,7} . Write down the elements corresponding to R.

If R is the relation "less than" from A = {1, 2, 3, 4, 5} to B = {1, 3, 5} , write down the Cartesian product corresponding to R. Also find the inverse relation to R.

If 'R' is relation 'less than' from : Set A = {(1, 2, 3, 4, 5} to Set B = {1, 4, 6}, write down the Cartesian Product corresponding to 'R'. Also, find the inverse relation to 'R'.

If A = {4, 9, 16, 25}, B = {1, 2, 3, 4} and R is the relation "is square of" from A to B, write down the set corresponding to R. Also find the domain and range of R.

Let A={2,4,6,8} and R be the relation "is greater than" on the set A. Write R as a set of order pairs. Is this relation (i) reflexive? (ii) symmetic? (iii) equivalance relation? Justify your answer.

Let R be the relation in the set A={1,2,3,4} given by R={(a,b):|a-b| is odd number } Write all the elements of R.

Let R={(x,y):|x^(2)-y^(2)|<1} be a relation on set A={1,2,3,4,5}. Write R as a set of ordered pairs.

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective type questions
  1. (i) If A= [-1,1], find A xx A (ii) If P = {1,2}, find P xx P

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  2. If G={7,8} and H={5,4,2}, find G xx H and H xx G.

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  3. If P ={ a, b, c} and Q = {r} , find P xx Q .

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  4. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

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  5. Let A and B be two sets such that n (A) = 3 and n(B) =2. If (x,1) (y,2...

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  6. Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(adot ...

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  7. Let R be the relation ''is divisor of'' from the set A{1,2,3} to B= [4...

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  8. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

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  9. Let R = {(x,y): x, y in Z, y = 2x-4]. If (p,-2) and [4, q^(2))in R, th...

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  10. If R={(x , y): x , y in Z ,\ x^2+y^2lt=4} is a relation defined on th...

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  11. A function f is defined by f(x)" "=" "2x" "" "5 . Write down the value...

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  12. Write the range of the function f (x) = cos [x], where -pi/2< x < pi/2

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  13. Find the domain and range of each of the following real valued func...

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  14. Write of the domain and range of f(x)=sqrt(x-[x])dot

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  15. Let f and g be real functions, defined by f(x)=sqrt(x-1)andg(x)=sqrt(x...

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  16. Let fg: R to R be defined respectively by f(x) = x+1, g(x) = 2x-3. Fin...

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  17. Find the domain of f(x)=1/(sqrt(x-|x|))

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  18. Find the range of f(x) = e^(x-[x]), x in R

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  19. If f and g are real fucntions defined by f(x)=x^(2)+7 and g (x) 3x+5 ...

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  20. Find the period of tan 4x

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