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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find the area of the region bounded by y=6x-x^2x-axis and between ordi...
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- intsin^-1sqrt(x/(a+x))dx=.
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- Solve : xdy/dx+y=xy^2
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- Evaluate int3^6sqrtx/(sqrt((9-x))+sqrtx)dx
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- Evaluate int-1^2 {|x\|+[x]}dx
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- The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...
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- If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...
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- Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2h...
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- Integrate intdx/(x^4+1)
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- Solve x^2ydx-(x^3+y^3)dy=0.
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- Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.
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- If a line in the space makes angles alpha, beta and gamma with the c...
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- If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}...
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- Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...
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- Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2...
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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- Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...
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- Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...
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