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SHARAM PUBLICATION-QUESTION PAPER 2012-EXERCISE
- Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...
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- Find the solutions of the following differential equations : y^(2)+x...
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- Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...
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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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- A and B are two events. If P(A) = (3)/(8), P(B) = (1)/(2) and P(A nn B...
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- If A and B are independent events,show that A^c and B^c are independ...
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- Evaluate: underset(x rarr 0)lim ((sinx)/x)
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- Integrate: int (sin^(2)x)/(1+cosx)(dx)
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- Determine: int sqrt(1+sin2x)dx
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- Integrate: int(3x^2)/(x^2+1)dx
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- Differentiate sin^(-1)(tanx) with respect to x.
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- Prove that the four points (0, 4, 3), (-1, -5, -3), (-2, -2, 1) and (1...
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- Show that the lines (x-4)/1=(y+3)/-4=(z+1)/7 and (x-1)/2=(y+1)/-3=(z+1...
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- Solve the following LPP graphically Maximize z=20x1+10x2 Subject to x1...
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- Prove that |{:(x,y,z),(x^2,y^2,z^2),(yz,zx,xy):}|=|{:(1,1,1),(x^2,y^2,...
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