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If R is the relation ‘lessthan from A={1...

If R is the relation ‘lessthan from A={1,2,3,4,5} to B={1,4,5}. Write down the cartesion product corresponding to R. Also find the inverse relation to R.

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The correct Answer is:
`R^(-1)={(4,1),(5,1),(4,2),(5,2),(4,3),(5,3),(5,4)}`
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BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. If f : R rarr R defined by : f(x) = frac {3-2x}{4} is an inversible fu...

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  2. If f : R rarr R defined by : f(x) = frac {6-5x}{7} is an inversible fu...

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  3. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

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  4. Let f:NrarrY, be a function defined as f(x) = 4x+3, where, Y = {y in ...

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  5. In a binary operation **: phi xx phi rarr phi is defined as a ** b = (...

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  6. If f(x) = 4x – 1 and g(x)=x^3 + 2, find gof

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  7. If f(x) = 4x – 1 and g(x)=x^3 + 2, find gof

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  8. If f(x) = sin x and g(x) = 2x, find fog.

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  9. Is f(x) = (x-1)/(x+1) invertible in its domain ? If so find, f^(-1) F...

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  10. Consider f:R^(+) rarr [-5, oo] given by f (x) = 9x^(2) + 6x - 5 show ...

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  11. If a**b=a/2+b/3 then find value of 2 ** 3.

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  12. Show that the relation R in the set R of real number defined as R = {(...

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  13. If R is the relation ‘lessthan from A={1,2,3,4,5} to B={1,4,5}. Write ...

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  14. If R is the relation ‘less than' from set A = {1, 2, 3, 4, 5} to B = {...

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  15. Show that R= {(a, b): a ge b} is reflexive and transitive but not sym...

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  16. If f(x)= [x], g (x) = abs(x), then find the value of (fog) (5/2) - (go...

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  17. If f:R rarr R is defined by f(x) = x^2 – 3x + 2, find f(f(x))

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  18. Find gof and fog if : f(x) =|x| and g (x) = (5x-2)

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  19. Show that relation R in Z of integers given by R = {x,y} : x - y is di...

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  20. Show that f: Rrarr R defined by f(x)= (4x-3)/5 , "x" inR is invertib...

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