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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
- Let f : R to R be the signum function defined as f(x) = {{:(1, x gt 0...
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- Number of binary operations on theset (a,b) is
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- Fill in the blank: The number of relations that can be defined from ...
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- Let the relation R be defined in N by aRb if 2 a + 3 b = 30. Then R = ...
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- Fill in the blank: Consider the set A = (0,1,2) and let R = (0,1), (...
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- Let the relation R be defined on the set A={1,2, 3,4,5}" by "R={(a, ...
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- Fill in the blank: The identity relation on any non-empty set is alw...
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- Fill in the blank: Let f = (1,2), (3,5), (4,1) and g = (2,3), (5,1),...
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- Fill in the blank: If f (X) = 4-(x-7)^3, then f^-1 (x) =
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- Fill in the blank: If f = (a,c), (b,d) and g = (c, a), (d,b) then ra...
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- Fill in the blank: Let f : R rarr R be defined by f(x) = (x)/(sqrt(1...
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- Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + c...
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- Fill in the blank: Let * be a binary operation defined on Z as a * b...
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- Consider the set A = {1, 2, 3} and R be the smallest equivalence relat...
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- Fill in the blank: The domain of the function f : R rarr R defined b...
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- Fill in the blank: The total number of injective functions that can ...
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- Fill in the blank: Let R1 be the set of all reals except 1 and * be ...
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- Let Z be the set of all integers and R be the relation on Z defined as...
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- Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + c...
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- If relation R defined on set A is an equivalence relation, then R is
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