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What is the probability of getting a total of utmost 11 when two dice are thrown ?

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SHARAM PUBLICATION-QUESTION PAPER 2012-EXERCISE
  1. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

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  2. What is the minimum value of n if P(n,2)=90?

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  3. What is the probability of getting a total of utmost 11 when two dice ...

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  4. Determine the maximum value of |[cosx sinx], [-sinx cosx-1]|.

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  5. Write the solution of the following LPP Maximise Z=x+y Subject to ...

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  6. Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx

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  7. Differentiate with resi to x : Y = 2^(x^2) + tan^(-1)((cosx-sinx)/(cos...

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  8. Find ((dz)/(dx))if z = x^cosx.

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  9. Evaluate lim(x to π/2) log(x-π/2)/tan x

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  10. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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  11. Integrate: int (cos2x)/(cosx+sinx)dx

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  12. Evaluate: int 2a^(x^(2))xdx

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  13. Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...

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  14. Find the solutions of the following differential equations : y^(2)+x...

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  15. Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...

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  16. Find a vector vec(b) such that vec(a) xx vec(b) = vec(c) and vec(a).ve...

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  17. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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  18. Find the co-ordinates of the point where the perpendicular from the or...

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  19. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

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  20. If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).

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