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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
- Find the area of the region bounded by the line y = 3x + 2, x-axis and...
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- Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...
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- Find the equation of a plane biscting the line segment joining (-1,4,3...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- Congruence modulo 3 relation partitions the set Z into how many equiva...
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- Maximise Z=5x(1)+7x(2) Subject to x(1)+x(2)le4, 5x(1)+8x(2)le24 ...
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- If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...
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- Exaniming consistency and solvability, solve the following equations b...
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- If A=((cosx,sinx),(-sinx,cosx)) then prove that A^n=((cosnx,sin nx),(-...
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- Find dy/dx x=cos^(3)t/sqrtcos2t, y=sin^(3)t/sqrt cos2t
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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- Integrate : int(ln (x+√(x^2 + a^2))dx.
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- Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...
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- Find the area of the région on closed between y = 4x-1 and y^2=2x
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- Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...
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- Prove the following by vector method. In a triangle AOB, mangleAOB = 9...
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- Let f: RrarrR defined by f(x)=x+1 and g:R rarr R defined as g(x)= sqrt...
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- Solve cos(2sin^(-1)x) = 1/9.
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- Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].
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- Fill in the blanks with appropriate answer from the brackes. If [[a,b...
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