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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find the integral intfrac[x+3][(5-4x+x^2)]dx
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- Evaluate int(0)^(pi//2)logsinxdx.
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- Form the differential equation of the family of all circles of radius ...
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- Solve the differential equation frac[dy][dx]=log(x+1)
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- The two adjacent sides of a parallelogram are 2hati-4hatj+5hatk and ha...
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- Prove the following by vector method. In a triangle AOB, mangleAOB = 9...
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- Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 mea...
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- Prove by vector method that in a parallelogram, the line joining a ve...
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- If "sin"^(-1)x + "sin"^(-1)y +"sin"^(-1)z = pi "prove that" x^4+y^4+z^...
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- Maximize Z=6x1+10x2subject to x1+2x2gt10,2x1+2x2gt12,3x1+x2gt8,x1,x2gt...
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- Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...
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- Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...
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- Show that P(m,1)+P (n,1)=P(M+n,1)for all positive integers m, n.
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- Prove that the curves x = y^(2) and xy = k cut at right angles, if 8k^...
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- Show that the semivertical angle of a cone of given slant height is ta...
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- A ladder 5m long is leaning against a wall. The bottom of ladder is pu...
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- Find the area of the smaller region bounded by the ellipse frac[x^2][a...
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- Find the co-ordinates of the foot of the perpendicular from the point ...
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- If with reference to the eight handed system of mutually perpendicular...
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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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