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Find X and Y if X+Y=[(5,2),(0,9)] and X=...

Find X and Y if `X+Y=[(5,2),(0,9)]` and `X=Y=[(3,6),(0,-1)]`

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OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -B
  1. If A and B are two events such that P(A) ne 0 and P(B/A) = 1, then

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  2. Using elementary transformation, find the inverse of the matrix A=[(2,...

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  3. Find X and Y if X+Y=[(5,2),(0,9)] and X=Y=[(3,6),(0,-1)]

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  4. Find the values of a and b such that the function defined by f(x){(5,"...

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  5. Find the intervals in which the function f, given by f(x)=-2x^(3)-9x^(...

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  6. Form the differential equation representing the family of curves x/a+y...

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  7. Show that the relation R defined in the set A of all triangles as R={(...

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  8. Show that "sin"^(-1)8/17+"sin"^(-1)3/5="tan"^(-1)77/36

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  9. Express "tan"^(-1)x/(sqrt(a^(2)-x^(2))),|x|lta in the simples form

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  10. Using the properties of determinats, show that |(y+k,y,y),(y,y+k,y),(y...

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  11. Find (dy)/(dx) if sin^(2)y+cosxy=pi

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  12. If =3e^(2x)+2e^(3x) then prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0

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  13. Evlauate int(x+1)sqrt(2x^(2)+3)dx

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  14. Evaluate int(xe^(x))/((1+x)^(2))dx

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  15. Evaluate int(0)^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

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  16. Solve differential equation(dy)/(dx)+secxy=tanx(0lexle(pi)/2)

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  17. Solve the differential equation ylogydx-xdy=0

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  18. Show that the points A(3,2,1),B(4,5,5),C(4,2,-2) and D(6,5,-1) are cop...

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  19. Find the angle between the pair of lines vecr=2hati-5hatj+hatk+lamda(...

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  20. Assume that each child born is equally likely to be a boy or a girl. I...

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