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MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
- Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))
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- Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...
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- Find differential equation of the curve y=ae^(3x)+be^(5x).
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- Obtain the general solution of the following differential equations. (...
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- Find a unit vector perpendicular to both of the vectors veca + vecb an...
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- Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.
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- Find the vector equation of a plane which is at a distance of 3 units ...
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- Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...
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- Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...
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- If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...
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- Find the inverse of the following matrices using elementary transforma...
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- Examining consistency and solvability, solve the following equation by...
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- Out of the adult population in a village 50% are farmers, 30% do busin...
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- If (a + bx)e^(y/x) = x, then show that x^3d/dx (dy/dx) = (x dy/dx - ...
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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- Evaluate the following integrals int(dx)/(2cos^2x+3cosx)
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- Determine the area common to the parabola y^2=x and the circle x^2+y^2...
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- Solve y^(2)+x^(2)dy/dx=xydy/dx.
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- Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1...
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- Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...
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