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If R be a relation on a finite set A hav...

If R be a relation on a finite set A having n elements, then the number of relations on A is-

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If a set A has n elements and another set B has m elements, what is the number of relations from A to B ?

If R be a relation from the set A to the set B, then-

Set A and B have respectively m and n elements. The total number of relations from A to B is 128. If m ne 1, write the values of m and n, respectively.

Sets A and B have respectively m and n elements. The total number of relations from A to B is 64. If mltn and mne1 , write the values of m and n respectively.

A and B arenon-empty sets such that absA = m, absB = n. How many relations can be defined from A to B ? ( Remember that the number of relations is the number of subsets of A xx B ) .

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SHARAM PUBLICATION-MODEL QUESTION PAPER 19-EXERCISE
  1. If R be a relation on a finite set A having n elements, then the numbe...

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  2. If A and B are independent events and P(A)=3/5,P(B)=1/5 then what is P...

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  3. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

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  4. If[[3,x],[7,5]]+[[1,-2],[-4,y]]=[[3,2],[5,1]] then write the value of ...

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  5. Write the anti-derivative of 3x^2+4x^3.

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  6. Differentiate logtan^(- 1)(1+x^2)w.r.t x.

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  7. Form the differential equation from y= c tan^(-1)x by eliminating the ...

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  8. Write the angle between veca and vecb with magnitude sqrt3 and sqrt2 ...

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  9. Find the distance of the plane 6x- y + 3z = 3 from the origin.

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  10. Find the least positive integer r such that 185 in [r]7

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  11. If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...

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  12. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  13. Show that 2 tan^-1(1/4) + 2 tan^-1 (2/9) = tan^-1(4/3).

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  14. Evaluate int1/(sqrt(x)sqrt(x-a^2))dx.

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  15. Evaluate int (x+3)/sqrt(9-x^2)dx.

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  16. Evaluate intcos(2-7x)dx

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  17. Solve(d^2y)/dt^2=e^(2t)+e^-t.

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  18. Using integration, find the area of the region bounded by the curves ...

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  19. Find the value of a such that the function f defined by f(x)={((sinax...

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  20. Find (dx)/dy when y=(sinx)^x.

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