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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0
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- Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...
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- Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).
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- Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x...
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- If y=x+frac[1][x+frac[1][x+...infty]] find frac[dy][dx], the rhs bein...
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- Solve (x+y+1)frac[dy][dx]=1
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- Integrate intfrac[tanx+tanalpha][tanx-tanalpha]dx
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- Integrate the following int0^1x^7/sqrt(1-x^2)dx
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- Find the area of the circle x^2+y^2=2ax.
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- int0^2[x^2]dx
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- Show that the line passing through the points (a1,b1,c1) and (a2,b2,c2...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Calculate the area of the triangle ABC (by vector method) where A(1,2,...
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- The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...
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- Find the equation of lines joining the points. (4,-6,1) and (0,3,-1)
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- Evaluate intln(x^2+x+2)dx
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Solve xfrac[dy][dx]+y=x^4
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- If f:XrightarrowY is onto, then prove that f(f^(-1)(B))=B for all Bsub...
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