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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
- Let R(1) be a relation defined by R(1)={(a,b)|agtb,a,b in R}. Then ...
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- Let R be the relation on the set R of all real numbers defined by a R ...
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- Let R be a relation defined on the set of natural numbers N as R={(...
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- On the set R of real numbers, the relation p is defined by xpy, ( x ,y...
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- Let r be relation from R (set of real numbers) to R defined by r={(a,b...
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- On R, a relation p is defined by xpy if and only if x-y is zero or irr...
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- On the set N of all natural numbers define the rational R by aRb iff t...
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- Let W denote the words in the english dicitionary define the relatio...
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- For any two numbers theta and phi , we define theta R phi ...
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- If the function f :N to N is defined by f (x)= sqrtx, then (f (25))/(f...
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- If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...
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- Let f : R to R satisfy f (x) (2) =4, then f ((1)/(2))=
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- If f(x) = cos (log (e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] ha...
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- The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...
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- Given the function f (x) =(a ^(x) + a ^(-x))/(2), a gt 2, then f (x+y)...
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- If f(x) = log ((1+x)/(1-x)), then f((2x)/(1+x^(2))) is equal to
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- If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...
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- If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...
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- Prove that if f (x) is periodic function with period T, then the funct...
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- If the graph of the function y = f(x) is symmetrical about the line x ...
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