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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...
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- Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...
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- Solve xsin""y/xdy=(ysin""y/x-x)dx
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- Evaluate int0^(pi/2)sinx/(sinx+cosx)dx.
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- Determine the area within the ellipse x^2/a^2+y^2/b^2=1.
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- Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx
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- If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk,then find the angle ...
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- Find the equation of plane passing through the intersection of the pla...
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- Find the co-ordinates of the foot of the perpendicular from the point ...
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- Prove that (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2=2veca^2
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- Prove that the line (x+5)/3=(y+4)/1=(z-7)/-2 and x/1=(y+7)/5=(z-16)/-1...
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- Evaluate the following integrals int(3)/(x^3-1)dx
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- Show that int0^pixInsinx=pi^2/2In1/2
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- Solve dy/dx+y/x=sinx/x,y(0)=0
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- A figure consists of a semi-circle with a rectangle on its diameter. G...
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- Find the points on the curve y = x^2+1 which are nearest to the point ...
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- Prove that a-=bmod 3 is an equivalence relation on the set of integers...
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- If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...
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- A factory uses three different respurce for the manufacture of two dif...
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