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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Evaluate the integral: int(x^2-4)/(x-2)dx
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- Solve the following differential equations (x+tany)dy= sin 2y ""dx
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- Evaluate int0^7 [x/3]dx
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- Prove that the point (1,2,3),(-1,1,0),(2, 1, 3) and (1, 1, 2) are copl...
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- If veca and vecb are unit vectors represented by the adjacent sides of...
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- Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...
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- Find the angle which a diagonal of a cube makes with one of its edges.
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- Find the value of k for which A (1,0,3), B(-1,2,4), C(1,2,1) and D(k,2...
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- Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...
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- Find the area of the parallelogram whose diagonals are vectors 3hati+h...
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- Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...
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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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- Show that the semivertical angle of a cone of given slant height is ta...
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- Let f be defined by f (x)=2x + 1 for all xinR. Show that f is bijectiv...
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- Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...
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- If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...
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- Find the inverse of the following matrix using elementary transformati...
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- Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric ...
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- Prove that intdx/(1+cosx+sinx)=ln|1+tan""x /2|+c .
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- Solve (x-y+1)dx-(x+y+5)dy=0
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