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Let A={1,2,3,...,9} and R be the relatio...

Let `A={1,2,3,...,9}` and `R` be the relation in `A xx A` defined by `(a , b)R(c , d)` if `a+d=b+c` for `(a , b),(c , d)` in `A xx A`. Prove that `R` is an equivalence relation. Also obtain the equivalence class `[(2,5)]`.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove that |[2y,y-z-x,2y],[2z,2z, ...

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  2. Write the vector equation of the plane, passing through the point (...

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  3. Let A={1,2,3,...,9} and R be the relation in A xx A defined by (a , b)...

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  4. Evaluate : int(x-3)sqrt(x^2+3x-18)dx

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  5. Evaluate : int(sin^6x+cos^6x)/(sin^2xdotcos^2x)dx

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  6. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  7. A dealer in rural area wishes to purchase a number of sewing machin...

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  8. From a lot of 15 bulbs which include 5 defectives, a sample of 4 bu...

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  9. A card from a pack of 52 playing cards is lost. From the remaining ...

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  10. Find the distance between the point (7,2,4) and the plane determined b...

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  11. Find the distance of the point (-1,-5,-10) from the point of inters...

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  12. Find the intervals in which the function f(x)=3x^4-4x^3-12 x^2+5 is (a...

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  13. Assume that each born child is equally likely to be a boy or ...

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  14. Let ** be a binary operation, on the set of all-zero real numbers, giv...

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  15. If 2[3 4 5x]+[1y0 1]=[7 0 10 5], find (x-y)dot

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  16. If "sin"(sin^(-1)\ 1/5+cos^(-1)x)=1, then find the value of xdot

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  17. If |[2x,5],[ 8,x]|=|[6,-2],[ 7, 3]|, write the value of x

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  18. Solve the following matrix equation for x : ,[x1][1 0-2 0]-Odot

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  19. Evaluate : int0^3(dx)/(9+x^2)

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  20. Write the antidervative of (3sqrt(x)+1/(sqrt(x)))dot

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