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If A and B are any two events and `AsubB`, then prove that `P(A)leP(B)`

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SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE
  1. Show that feasible region for the following constarints in a graph 2x+...

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  2. If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...

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  3. Find the inverse of the following : [[2,5],[1,3]]

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  4. If the sets A and B have m and n elements respectively, then how many ...

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  5. If A and B are any two events and AsubB, then prove that P(A)leP(B)

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  6. If a die is thrown twice in succession, then find the probability that...

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  7. Find (dy)/(dx) if x=y^x+tan^(-1)x.

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  8. if y=e^(cos^(-1)x) then find dy/dx.

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  9. Show that the rectangle of maximum area that can be inscribed in a giv...

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  10. Determine: underset (x rarr0)lim(x cos x)/( sin x).

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  11. Integrate: int sin 4xdx

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  12. Evaluate int (dx)/((x+1)sqrt(1-x^2))

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  13. int0^pi(xdx)/(1+sinx)

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  14. Find the solution of the following differential equations: (2x+y+1)dx+...

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  15. If the vertices A,B,C of a triangle ABC are at (1,1,2),(2,2,3),(3,-1,-...

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  16. Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...

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  17. Find the equation of the sphere inscribed in a tetrahedron whose faces...

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  18. Solve the followig LPP graphically. Maximize: z = 5x+3y Subject to...

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  19. If a, b and c are all positive real, then prove that minimum value of ...

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  20. Solve the following system of equations by the matrix inversion method...

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