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If A={1,2,3,4,5}, show that the relation...

If `A={1,2,3,4,5},` show that the relation `f={(x,y):x+y=6}` for all `x,y in A`, defines a mapping from A to itself, but the relation `g= {(x,y):y lt x}` does not defines a mapping in set A.

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CHHAYA PUBLICATION-RELATION AND MAPPING -Very short answer type questions
  1. If the mapping {(1,2),(-1,6),(2,3),(3,6) is descibed by the rule f(x)=...

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  2. Let f be subset of ZZxxZZ such that f={(xy,x-y):x,y inZZ} is f a mappi...

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  3. If A={1,2,3,4,5}, show that the relation f={(x,y):x+y=6} for all x,y i...

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  4. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

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  5. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

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  6. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

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  7. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

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  8. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

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  9. Given y = 4 for all real values of x, Can y be regarded as a function ...

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  10. The volume of an open tank with a square base of side x m is 40m^3. Ex...

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  11. Given f(x) = 3x - 9 , find f(-1), f(3), f(x+h) and f(x^2-1).

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  12. If f(x-1) = 7x - 5 find f(x) and f(x+2).

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  13. If f(x+3) = 2x^2-3x-1, find the value of f(x+1).

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  14. Given f(x+2)=x^2-6x+2, find f(0), f(2), f(-2) and f(x).

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  15. If 2f(x)+3f(-x)=15-4x , prove that, f(x)=3+4x.

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  16. If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

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  17. If f(x)=2x^2-3x+5, find f(a+h) and (f(a+h)-f(a))/(h)

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  18. If phi(x)=(1-x)/(1+x), show that, phi(cos2 theta)=tan ^2theta.

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  19. If f(x)=5^x , then prove : f(x+2)=25f(x)

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  20. If f(x)=5^x , then prove : f(x+y)=f(x).f(y)

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