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Find all possible equivalence relations on `X={1,2,3}`

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Find the number of equivalence, relations on X ={1,2,3),

Find the number of equivalence relations on x = {1,2,3 } .

Write the smallest equivalence relation on A = {1,2,3}.

Write down the smallest and the largest equivalence reaction on a set A ={1,2,3}..

Let A (1,2,3). Then, find the number of equivalence relations containing (1,2).

What is the partition of the set {1,2} induced by the equivalence relation {(1,1),(2,2)} ?

If f:X to Y is a function. Define a relation R on X given by R={(a, b): f(a)=f(b)}. Show that R is an equivalence relation on X.

List the members of the equivalence relation defined by {{1,2,3},{4}} partitins on X={1,2,3,4}.Also find the equivalence classes of 1,2,3 and 4.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.

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  3. Find all possible equivalence relations on X={1,2,3}

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  4. Find the fesible region of the following system:3x-yge0,xge0,yge0

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  5. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

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  6. If f:XrightarrowY is onto, then prove that f(f^(-1)(B))=B for all Bsub...

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  7. If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...

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  8. [{:(1,-2),(3,2):}][{:(x,2),(1,y):}]=[{:(-3,4),(-1,4):}], find x and y...

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  10. Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)

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  11. If A is square matrix,then prove that A.(adj*A)=absAI.

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  12. If y=sqrt(x+1)Find deltay and dy when X=8 and dx=0.02.

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  13. Shows that the following functions do not possess maximum or minimum. ...

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  19. Determine the area within the ellipse x^2/a^2+y^2/b^2=1.

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