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What is the minimum value of n if P(n, 2...

What is the minimum value of `n` if `P(n, 2) > 131` ?

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MODERN PUBLICATION-SAMPLE PAPER 2012-EXERCISE
  1. To which coordinate axis is the plane 2x+ 3z = 0 parallel ?

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  2. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

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  3. What is the minimum value of n if P(n, 2) > 131 ?

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

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

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

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

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

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  9. Find del/(dely)((delz)/(delx)) if z=x^(y) + y^(x)

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

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

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  12. Integrate int(-3//5)^(3//5)[2x+1]dx

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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. Solve y^(2)+x^(2)dy/dx=xydy/dx.

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  15. Solve(x log x )dy/dx+y=2 log x.

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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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