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Let A = {x : x is a natural number}, B...

Let A = {x : x is a natural number},
B = {x : x is an even natural number},
C = {x : x is an odd natural number}
and D = {x : x is a prime number}.
Find

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If A= {x : x is a natural number}, B= {x : x is an even natural number}, C= {x : x is an odd natural number}, D= {x : x is a prime number} then find the following sets. A cap C

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Write the following sets in roster form (i) B= {x:x is a natural number smaller than 6} C= {x:x is a two-digit natural number such that the sum of its digits is 8). (iii) D= {x : x is a prime mimber which is a divisor of 60}. E= {x:x is an alphabet in BETTER}.

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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Relations and Functions (True /False Statement )
  1. f:R^(+)rarrR^(+),f(x)=x^2+4(sqrtx)+3 then f(4) = 24.

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  2. Graph of identity function passes from origin and also from first , th...

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  3. f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If...

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  4. Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an...

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  5. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

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  6. Set A has three elements and B = {a, b, c,d} then numbers of elements ...

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  7. If n(A) = p and n (B) = q then numbers of non void relations from A to...

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  8. Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be t...

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  9. A = {3k| k in N} B = {3k -1|k in N} and C = {3k-2| k in N}. Then A , B...

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  10. n(A DeltaB) = n(A) + n(B) - 2n (A cap B)

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  11. If [n(A)]^(3) = 8 and {0,1,0} in A^3 then a = {0,1}

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  12. Let A = {x : x is a natural number}, B = {x : x is an even natural n...

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  13. f: R rarr R, f(x) = sec^(2)x - tan^(2) x is constant function .

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  14. Graph of constant function is line parallel to Y - axis (means graph i...

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  15. For xne0 ,f(x) = (x-|x|)/(|x|) then f(-1)=0

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  16. f:R^(+)rarrR^(+),f(x)=x^2+4(sqrtx)+3 then f(4) = 24.

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  17. Graph of identity function passes from origin and also from first , th...

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  18. f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If...

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  19. Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an...

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  20. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

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