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MODERN PUBLICATION-SAMPLE PAPER 2012-EXERCISE
- Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...
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- What is the minimum value of n if P(n, 2) > 131 ?
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- What is the probability of getting a total of utmost 11 when two dice ...
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- Determine the maximum value of |[cosx sinx], [-sinx cosx-1]|.
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- Write the solution of the following LPP Maximise Z=x+y Subject to ...
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- Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx
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- Differentiate with resi to x : Y = 2^(x^2) + tan^(-1)((cosx-sinx)/(cos...
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- Find del/(dely)((delz)/(delx)) if z=x^(y) + y^(x)
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- Evaluate lim(x to π/2) log(x-π/2)/tan x
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- Find the equation of tangent to the curve x=y^2-2 at the points where ...
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- Integrate int(-3//5)^(3//5)[2x+1]dx
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- Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...
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- Solve y^(2)+x^(2)dy/dx=xydy/dx.
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- Solve(x log x )dy/dx+y=2 log x.
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- Find a vector vec(b) such that vec(a) xx vec(b) = vec(c) and vec(a).ve...
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- Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...
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- Find the co-ordinates of the point where the perpendicular from the or...
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- Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0
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- If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).
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- Find the value of the term free from X in the expansion of (3/2(x^(2))...
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