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Let R be the equivalence relation in the...

Let `R` be the equivalence relation in the set `A={0,\ 1,\ 2,\ 3,\ 4,\ 5}` given by `R={(a ,\ b):2` divides `(a-b)}` . Write the equivalence class [0].

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If, [xdoty4z+6x+y]=[8w0 6], write the value of (x+y+z)dot

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  2. Write the principal value of cos^(-1)[cos(680^@)]

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  3. Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5}...

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  4. Write a x2x matrix which is both symmetric and skew-symmetric.

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  5. Write the projection of the vector 2 hat i- hat j+ hat k on the vector...

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  6. int[x+3]/sqrt[5-4x-x^2].dx

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  7. Evaluate : int0^(pi/2)x^2sinxdx

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  8. If the three vectors veca, vecb , vecc are coplanar, prove that the ve...

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  9. If vec a=2 hat i-3 hat j+ hat k , hat b=- hat i+ hat k , vec c=2 hat ...

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  10. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))...

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  11. If x=a(cost+tsint)a n d y=a (sin t - t cos t), then find the value of ...

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  12. If (x-y)dote^(x/(x-y))=a , Prove that y(dy)/(dx)+x=2ydot

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  13. Using properties of determinants, prove the following : |[a, a^2,bc]...

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  14. Write the value of the determinant |[p,p+1],[p-1,p]| .

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  15. Let S be the set of all rational number except 1 and * be defined ...

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  16. Find the distance of the point P(–1, –5, –10) from the point of int...

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  17. Find the equation of the plane that contains the point (1, – 1, 2) ...

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  18. A cottage industry manufactures pedestal lamps and wooden shades, e...

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  19. Find the shortest distance between the lines l1 and l2 whose vector ...

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  20. Find a unit vector perpendicular to both of the vectors vec a+ vec b ...

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