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ARIHANT PRAKASHAN-RELATIONS AND FUNCTIONS -TOPIC-01 (TOPIC TEST 1)
- For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...
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- If the relation R is defined on the set A={1,2,3,4,5} by R={a,b} : |a^...
03:14
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- Find least positive integer x, satisfying 276x+128=4 (mod 7).
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- If the mappings f and g are given by f={(1,2),(3,5),(4,1) and g={(2,...
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- Let A={1,2,3}, B={4,5,6,7} and let f={(1,4),(2,5),(3,6)} be a function...
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- Let X and Y be set containing m and n elements, respectively. How many...
02:48
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- Show that the function f(x)=a^(x), x in R is injective, where (a gt 0 ...
01:52
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- Show that the relation S in set A={x in Z : 0 le x le 12} given by S=...
07:47
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
05:13
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- Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...
03:42
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- If f:R to R is defined as f(x)=10x +7. Find the function g:R to R, suc...
03:00
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- If the function'f : R rarrR is given by f(x) = x^(2) +2 and g:R rarr R...
02:54
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- Show that the relation R is in the set A={1,2,3,4,5} given by R={(a, b...
04:46
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- Let f : N to R be a function defined as f(x)=4x^(2)+12x +15. Show tha...
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- Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...
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