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HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
- If f = R rightarrow R is defined by f(x) = |x|, then,
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- A set A has 5 element. Then the maximum number of relations on A (incl...
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- If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=
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- R is a relation on N given by R={(x,y)|4x+3y=20} . Which of the fol...
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- On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...
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- Define a relation R on A ={1,2,3,4} as xRy iff x divides y. Then R is ...
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- Let R be an equivalence relation defined on a set containing 6 element...
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- The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...
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- The value of alpha(ne0) for which the function f(x)=1+alphax is the in...
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- The number of one-one and onto mapping from A to B, where n(A)=6andn(B...
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- If f(x)=(3x+2)/(5x-3), then :
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- If f:RtoS defined by : f(x)=sinx-sqrt(3)cosx+1, is onto, then the inte...
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- Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...
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- If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...
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- For real x, let f(x)=x^(3)+5x+1,, then :
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- The domain of the function f(x)=(1)/(sqrt(|x|-x)) is :
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- Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...
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- Let f(x)=(alphax)/(x+1),xne0, then for what value of alpha is f[f(x)]...
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- Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...
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- If f(x) = {(x, if \x \ is \rational),(0,if \ x \ is \ irrational):} ...
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